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Finding the Fourth Proportional to 135,046.32, 186,358.91 and 74,615.66

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Solution

The fourth proportional to 135,046.32, 186,358.91 and 74,615.66 is: 102,966.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,046.32 : 186,358.91 = 74,615.66 : x
  2. Step 2: Convert to fraction form
    135,046.32/186,358.91 = 74,615.66/x
  3. Step 3: Cross multiply
    135,046.32x = 186,358.91 × 74,615.66
  4. Step 4: Simplify right side
    135,046.32x = 13,905,292,460.50
  5. Step 5: Solve for x
    x = 13,905,292,460.50/135,046.32
  6. Step 6: Final answer
    x = 102,966.84

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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.