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Finding the Fourth Proportional to 138,637.85, 191,305.86 and 102,358.59

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Solution

The fourth proportional to 138,637.85, 191,305.86 and 102,358.59 is: 141,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,637.85 : 191,305.86 = 102,358.59 : x
  2. Step 2: Convert to fraction form
    138,637.85/191,305.86 = 102,358.59/x
  3. Step 3: Cross multiply
    138,637.85x = 191,305.86 × 102,358.59
  4. Step 4: Simplify right side
    138,637.85x = 19,581,798,088.34
  5. Step 5: Solve for x
    x = 19,581,798,088.34/138,637.85
  6. Step 6: Final answer
    x = 141,244.25

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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.