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Finding the Fourth Proportional to 362,802.48, 544,215.96 and 138,129.24

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Solution

The fourth proportional to 362,802.48, 544,215.96 and 138,129.24 is: 207,198.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,802.48 : 544,215.96 = 138,129.24 : x
  2. Step 2: Convert to fraction form
    362,802.48/544,215.96 = 138,129.24/x
  3. Step 3: Cross multiply
    362,802.48x = 544,215.96 × 138,129.24
  4. Step 4: Simplify right side
    362,802.48x = 75,172,136,950.67
  5. Step 5: Solve for x
    x = 75,172,136,950.67/362,802.48
  6. Step 6: Final answer
    x = 207,198.52

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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.