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Finding the Fourth Proportional to 142,411.36, 213,637.78 and 52,497.11

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Solution

The fourth proportional to 142,411.36, 213,637.78 and 52,497.11 is: 78,753.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,411.36 : 213,637.78 = 52,497.11 : x
  2. Step 2: Convert to fraction form
    142,411.36/213,637.78 = 52,497.11/x
  3. Step 3: Cross multiply
    142,411.36x = 213,637.78 × 52,497.11
  4. Step 4: Simplify right side
    142,411.36x = 11,215,366,036.82
  5. Step 5: Solve for x
    x = 11,215,366,036.82/142,411.36
  6. Step 6: Final answer
    x = 78,753.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.