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Finding the Fourth Proportional to 238,838.56, 357,374.16 and 144,123.52

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Solution

The fourth proportional to 238,838.56, 357,374.16 and 144,123.52 is: 215,652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,838.56 : 357,374.16 = 144,123.52 : x
  2. Step 2: Convert to fraction form
    238,838.56/357,374.16 = 144,123.52/x
  3. Step 3: Cross multiply
    238,838.56x = 357,374.16 × 144,123.52
  4. Step 4: Simplify right side
    238,838.56x = 51,506,021,896.24
  5. Step 5: Solve for x
    x = 51,506,021,896.24/238,838.56
  6. Step 6: Final answer
    x = 215,652.04

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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.