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Finding the Fourth Proportional to 233,101.60, 349,825.20 and 154,189.60

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Solution

The fourth proportional to 233,101.60, 349,825.20 and 154,189.60 is: 231,398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,101.60 : 349,825.20 = 154,189.60 : x
  2. Step 2: Convert to fraction form
    233,101.60/349,825.20 = 154,189.60/x
  3. Step 3: Cross multiply
    233,101.60x = 349,825.20 × 154,189.60
  4. Step 4: Simplify right side
    233,101.60x = 53,939,407,657.92
  5. Step 5: Solve for x
    x = 53,939,407,657.92/233,101.60
  6. Step 6: Final answer
    x = 231,398.70

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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.