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Finding the Fourth Proportional to 135,152.34, 186,494.10 and 74,714.87

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Solution

The fourth proportional to 135,152.34, 186,494.10 and 74,714.87 is: 103,097.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,152.34 : 186,494.10 = 74,714.87 : x
  2. Step 2: Convert to fraction form
    135,152.34/186,494.10 = 74,714.87/x
  3. Step 3: Cross multiply
    135,152.34x = 186,494.10 × 74,714.87
  4. Step 4: Simplify right side
    135,152.34x = 13,933,881,504.80
  5. Step 5: Solve for x
    x = 13,933,881,504.80/135,152.34
  6. Step 6: Final answer
    x = 103,097.60

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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.