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Finding the Fourth Proportional to 130,176.53, 195,041.88 and 71,053.68

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Solution

The fourth proportional to 130,176.53, 195,041.88 and 71,053.68 is: 106,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,176.53 : 195,041.88 = 71,053.68 : x
  2. Step 2: Convert to fraction form
    130,176.53/195,041.88 = 71,053.68/x
  3. Step 3: Cross multiply
    130,176.53x = 195,041.88 × 71,053.68
  4. Step 4: Simplify right side
    130,176.53x = 13,858,443,328.12
  5. Step 5: Solve for x
    x = 13,858,443,328.12/130,176.53
  6. Step 6: Final answer
    x = 106,458.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.