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Finding the Fourth Proportional to 130,765.72, 180,451.38 and 74,175.88

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Solution

The fourth proportional to 130,765.72, 180,451.38 and 74,175.88 is: 102,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,765.72 : 180,451.38 = 74,175.88 : x
  2. Step 2: Convert to fraction form
    130,765.72/180,451.38 = 74,175.88/x
  3. Step 3: Cross multiply
    130,765.72x = 180,451.38 × 74,175.88
  4. Step 4: Simplify right side
    130,765.72x = 13,385,139,908.71
  5. Step 5: Solve for x
    x = 13,385,139,908.71/130,765.72
  6. Step 6: Final answer
    x = 102,359.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.