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Finding the Fourth Proportional to 138,683, 191,381.40 and 75,020.96

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Solution

The fourth proportional to 138,683, 191,381.40 and 75,020.96 is: 103,528.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,683 : 191,381.40 = 75,020.96 : x
  2. Step 2: Convert to fraction form
    138,683/191,381.40 = 75,020.96/x
  3. Step 3: Cross multiply
    138,683x = 191,381.40 × 75,020.96
  4. Step 4: Simplify right side
    138,683x = 14,357,616,354.14
  5. Step 5: Solve for x
    x = 14,357,616,354.14/138,683
  6. Step 6: Final answer
    x = 103,528.31

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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.