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Finding the Fourth Proportional to 102,123.34, 140,872.69 and 61,276.91

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Solution

The fourth proportional to 102,123.34, 140,872.69 and 61,276.91 is: 84,527.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,123.34 : 140,872.69 = 61,276.91 : x
  2. Step 2: Convert to fraction form
    102,123.34/140,872.69 = 61,276.91/x
  3. Step 3: Cross multiply
    102,123.34x = 140,872.69 × 61,276.91
  4. Step 4: Simplify right side
    102,123.34x = 8,632,242,641.21
  5. Step 5: Solve for x
    x = 8,632,242,641.21/102,123.34
  6. Step 6: Final answer
    x = 84,527.62

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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.