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Finding the Fourth Proportional to 384,043.60, 576,065.40 and 134,750.80

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Solution

The fourth proportional to 384,043.60, 576,065.40 and 134,750.80 is: 202,126.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,043.60 : 576,065.40 = 134,750.80 : x
  2. Step 2: Convert to fraction form
    384,043.60/576,065.40 = 134,750.80/x
  3. Step 3: Cross multiply
    384,043.60x = 576,065.40 × 134,750.80
  4. Step 4: Simplify right side
    384,043.60x = 77,625,273,502.32
  5. Step 5: Solve for x
    x = 77,625,273,502.32/384,043.60
  6. Step 6: Final answer
    x = 202,126.20

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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.