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Finding the Fourth Proportional to 130,675.28, 180,321.72 and 74,095.76

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Solution

The fourth proportional to 130,675.28, 180,321.72 and 74,095.76 is: 102,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,675.28 : 180,321.72 = 74,095.76 : x
  2. Step 2: Convert to fraction form
    130,675.28/180,321.72 = 74,095.76/x
  3. Step 3: Cross multiply
    130,675.28x = 180,321.72 × 74,095.76
  4. Step 4: Simplify right side
    130,675.28x = 13,361,074,887.91
  5. Step 5: Solve for x
    x = 13,361,074,887.91/130,675.28
  6. Step 6: Final answer
    x = 102,246.38

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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.