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Finding the Fourth Proportional to 130,426.68, 195,714.05 and 55,539.01

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Solution

The fourth proportional to 130,426.68, 195,714.05 and 55,539.01 is: 83,340.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,426.68 : 195,714.05 = 55,539.01 : x
  2. Step 2: Convert to fraction form
    130,426.68/195,714.05 = 55,539.01/x
  3. Step 3: Cross multiply
    130,426.68x = 195,714.05 × 55,539.01
  4. Step 4: Simplify right side
    130,426.68x = 10,869,764,963.58
  5. Step 5: Solve for x
    x = 10,869,764,963.58/130,426.68
  6. Step 6: Final answer
    x = 83,340.04

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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.