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Finding the Fourth Proportional to 102,123.70, 140,926.16 and 59,096.36

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Solution

The fourth proportional to 102,123.70, 140,926.16 and 59,096.36 is: 81,550.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,123.70 : 140,926.16 = 59,096.36 : x
  2. Step 2: Convert to fraction form
    102,123.70/140,926.16 = 59,096.36/x
  3. Step 3: Cross multiply
    102,123.70x = 140,926.16 × 59,096.36
  4. Step 4: Simplify right side
    102,123.70x = 8,328,223,084.78
  5. Step 5: Solve for x
    x = 8,328,223,084.78/102,123.70
  6. Step 6: Final answer
    x = 81,550.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.