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Finding the Fourth Proportional to 137,695.06, 206,552.49 and 57,652.48

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Solution

The fourth proportional to 137,695.06, 206,552.49 and 57,652.48 is: 86,482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,695.06 : 206,552.49 = 57,652.48 : x
  2. Step 2: Convert to fraction form
    137,695.06/206,552.49 = 57,652.48/x
  3. Step 3: Cross multiply
    137,695.06x = 206,552.49 × 57,652.48
  4. Step 4: Simplify right side
    137,695.06x = 11,908,263,298.68
  5. Step 5: Solve for x
    x = 11,908,263,298.68/137,695.06
  6. Step 6: Final answer
    x = 86,482.87

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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.