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Finding the Fourth Proportional to 238,444.24, 357,721.76 and 69,957.76

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Solution

The fourth proportional to 238,444.24, 357,721.76 and 69,957.76 is: 104,952.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,444.24 : 357,721.76 = 69,957.76 : x
  2. Step 2: Convert to fraction form
    238,444.24/357,721.76 = 69,957.76/x
  3. Step 3: Cross multiply
    238,444.24x = 357,721.76 × 69,957.76
  4. Step 4: Simplify right side
    238,444.24x = 25,025,413,032.86
  5. Step 5: Solve for x
    x = 25,025,413,032.86/238,444.24
  6. Step 6: Final answer
    x = 104,952.89

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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.