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Finding the Fourth Proportional to 138,654, 191,328 and 102,374.76

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Solution

The fourth proportional to 138,654, 191,328 and 102,374.76 is: 141,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,654 : 191,328 = 102,374.76 : x
  2. Step 2: Convert to fraction form
    138,654/191,328 = 102,374.76/x
  3. Step 3: Cross multiply
    138,654x = 191,328 × 102,374.76
  4. Step 4: Simplify right side
    138,654x = 19,587,158,081.28
  5. Step 5: Solve for x
    x = 19,587,158,081.28/138,654
  6. Step 6: Final answer
    x = 141,266.45

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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.