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Finding the Fourth Proportional to 138,740.96, 191,460.96 and 75,077.60

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Solution

The fourth proportional to 138,740.96, 191,460.96 and 75,077.60 is: 103,606.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,740.96 : 191,460.96 = 75,077.60 : x
  2. Step 2: Convert to fraction form
    138,740.96/191,460.96 = 75,077.60/x
  3. Step 3: Cross multiply
    138,740.96x = 191,460.96 × 75,077.60
  4. Step 4: Simplify right side
    138,740.96x = 14,374,429,370.50
  5. Step 5: Solve for x
    x = 14,374,429,370.50/138,740.96
  6. Step 6: Final answer
    x = 103,606.24

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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.