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Finding the Fourth Proportional to 137,017.13, 205,401.13 and 52,723.54

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Solution

The fourth proportional to 137,017.13, 205,401.13 and 52,723.54 is: 79,037.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,017.13 : 205,401.13 = 52,723.54 : x
  2. Step 2: Convert to fraction form
    137,017.13/205,401.13 = 52,723.54/x
  3. Step 3: Cross multiply
    137,017.13x = 205,401.13 × 52,723.54
  4. Step 4: Simplify right side
    137,017.13x = 10,829,474,693.60
  5. Step 5: Solve for x
    x = 10,829,474,693.60/137,017.13
  6. Step 6: Final answer
    x = 79,037.38

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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.