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Finding the Fourth Proportional to 153,092.16, 229,061.16 and 137,553.12

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Solution

The fourth proportional to 153,092.16, 229,061.16 and 137,553.12 is: 205,811.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,092.16 : 229,061.16 = 137,553.12 : x
  2. Step 2: Convert to fraction form
    153,092.16/229,061.16 = 137,553.12/x
  3. Step 3: Cross multiply
    153,092.16x = 229,061.16 × 137,553.12
  4. Step 4: Simplify right side
    153,092.16x = 31,508,077,228.82
  5. Step 5: Solve for x
    x = 31,508,077,228.82/153,092.16
  6. Step 6: Final answer
    x = 205,811.17

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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.