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Finding the Fourth Proportional to 233,146.60, 349,719.90 and 83,458.60

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Solution

The fourth proportional to 233,146.60, 349,719.90 and 83,458.60 is: 125,187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,146.60 : 349,719.90 = 83,458.60 : x
  2. Step 2: Convert to fraction form
    233,146.60/349,719.90 = 83,458.60/x
  3. Step 3: Cross multiply
    233,146.60x = 349,719.90 × 83,458.60
  4. Step 4: Simplify right side
    233,146.60x = 29,187,133,246.14
  5. Step 5: Solve for x
    x = 29,187,133,246.14/233,146.60
  6. Step 6: Final answer
    x = 125,187.90

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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.