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Finding the Fourth Proportional to 502,094.20, 753,141.30 and 128,117.20

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Solution

The fourth proportional to 502,094.20, 753,141.30 and 128,117.20 is: 192,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,094.20 : 753,141.30 = 128,117.20 : x
  2. Step 2: Convert to fraction form
    502,094.20/753,141.30 = 128,117.20/x
  3. Step 3: Cross multiply
    502,094.20x = 753,141.30 × 128,117.20
  4. Step 4: Simplify right side
    502,094.20x = 96,490,354,560.36
  5. Step 5: Solve for x
    x = 96,490,354,560.36/502,094.20
  6. Step 6: Final answer
    x = 192,175.80

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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.