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Finding the Fourth Proportional to 137,569.59, 206,319.76 and 53,300.84

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Solution

The fourth proportional to 137,569.59, 206,319.76 and 53,300.84 is: 79,937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,569.59 : 206,319.76 = 53,300.84 : x
  2. Step 2: Convert to fraction form
    137,569.59/206,319.76 = 53,300.84/x
  3. Step 3: Cross multiply
    137,569.59x = 206,319.76 × 53,300.84
  4. Step 4: Simplify right side
    137,569.59x = 10,997,015,351.75
  5. Step 5: Solve for x
    x = 10,997,015,351.75/137,569.59
  6. Step 6: Final answer
    x = 79,937.84

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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.