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Finding the Fourth Proportional to 351,510.24, 527,355.28 and 102,192.24

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Solution

The fourth proportional to 351,510.24, 527,355.28 and 102,192.24 is: 153,314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,510.24 : 527,355.28 = 102,192.24 : x
  2. Step 2: Convert to fraction form
    351,510.24/527,355.28 = 102,192.24/x
  3. Step 3: Cross multiply
    351,510.24x = 527,355.28 × 102,192.24
  4. Step 4: Simplify right side
    351,510.24x = 53,891,617,339.03
  5. Step 5: Solve for x
    x = 53,891,617,339.03/351,510.24
  6. Step 6: Final answer
    x = 153,314.50

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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.