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Finding the Fourth Proportional to 137,716.42, 206,662.02 and 58,831.24

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Solution

The fourth proportional to 137,716.42, 206,662.02 and 58,831.24 is: 88,284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,716.42 : 206,662.02 = 58,831.24 : x
  2. Step 2: Convert to fraction form
    137,716.42/206,662.02 = 58,831.24/x
  3. Step 3: Cross multiply
    137,716.42x = 206,662.02 × 58,831.24
  4. Step 4: Simplify right side
    137,716.42x = 12,158,182,897.50
  5. Step 5: Solve for x
    x = 12,158,182,897.50/137,716.42
  6. Step 6: Final answer
    x = 88,284.19

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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.