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Finding the Fourth Proportional to 129,507.60, 194,261.40 and 54,712.20

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Solution

The fourth proportional to 129,507.60, 194,261.40 and 54,712.20 is: 82,068.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,507.60 : 194,261.40 = 54,712.20 : x
  2. Step 2: Convert to fraction form
    129,507.60/194,261.40 = 54,712.20/x
  3. Step 3: Cross multiply
    129,507.60x = 194,261.40 × 54,712.20
  4. Step 4: Simplify right side
    129,507.60x = 10,628,468,569.08
  5. Step 5: Solve for x
    x = 10,628,468,569.08/129,507.60
  6. Step 6: Final answer
    x = 82,068.30

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1.5x scale

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.