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Finding the Fourth Proportional to 378,148.80, 567,184.80 and 128,827.20

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Solution

The fourth proportional to 378,148.80, 567,184.80 and 128,827.20 is: 193,227.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,148.80 : 567,184.80 = 128,827.20 : x
  2. Step 2: Convert to fraction form
    378,148.80/567,184.80 = 128,827.20/x
  3. Step 3: Cross multiply
    378,148.80x = 567,184.80 × 128,827.20
  4. Step 4: Simplify right side
    378,148.80x = 73,068,829,666.56
  5. Step 5: Solve for x
    x = 73,068,829,666.56/378,148.80
  6. Step 6: Final answer
    x = 193,227.72

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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.