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Finding the Fourth Proportional to 233,123.60, 349,858.20 and 154,211.60

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Solution

The fourth proportional to 233,123.60, 349,858.20 and 154,211.60 is: 231,431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,123.60 : 349,858.20 = 154,211.60 : x
  2. Step 2: Convert to fraction form
    233,123.60/349,858.20 = 154,211.60/x
  3. Step 3: Cross multiply
    233,123.60x = 349,858.20 × 154,211.60
  4. Step 4: Simplify right side
    233,123.60x = 53,952,192,795.12
  5. Step 5: Solve for x
    x = 53,952,192,795.12/233,123.60
  6. Step 6: Final answer
    x = 231,431.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.