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Finding the Fourth Proportional to 137,006.64, 205,486.20 and 48,239.28

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Solution

The fourth proportional to 137,006.64, 205,486.20 and 48,239.28 is: 72,350.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,006.64 : 205,486.20 = 48,239.28 : x
  2. Step 2: Convert to fraction form
    137,006.64/205,486.20 = 48,239.28/x
  3. Step 3: Cross multiply
    137,006.64x = 205,486.20 × 48,239.28
  4. Step 4: Simplify right side
    137,006.64x = 9,912,506,337.94
  5. Step 5: Solve for x
    x = 9,912,506,337.94/137,006.64
  6. Step 6: Final answer
    x = 72,350.55

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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.