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Finding the Fourth Proportional to 117,644.40, 176,207.40 and 102,092.40

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Solution

The fourth proportional to 117,644.40, 176,207.40 and 102,092.40 is: 152,913.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,644.40 : 176,207.40 = 102,092.40 : x
  2. Step 2: Convert to fraction form
    117,644.40/176,207.40 = 102,092.40/x
  3. Step 3: Cross multiply
    117,644.40x = 176,207.40 × 102,092.40
  4. Step 4: Simplify right side
    117,644.40x = 17,989,436,363.76
  5. Step 5: Solve for x
    x = 17,989,436,363.76/117,644.40
  6. Step 6: Final answer
    x = 152,913.66

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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.