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Finding the Fourth Proportional to 138,750.20, 208,125.30 and 138,750.20

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Solution

The fourth proportional to 138,750.20, 208,125.30 and 138,750.20 is: 208,125.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,750.20 : 208,125.30 = 138,750.20 : x
  2. Step 2: Convert to fraction form
    138,750.20/208,125.30 = 138,750.20/x
  3. Step 3: Cross multiply
    138,750.20x = 208,125.30 × 138,750.20
  4. Step 4: Simplify right side
    138,750.20x = 28,877,427,000.06
  5. Step 5: Solve for x
    x = 28,877,427,000.06/138,750.20
  6. Step 6: Final answer
    x = 208,125.30

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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.