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Finding the Fourth Proportional to 252,008.94, 347,772.32 and 138,831.69

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Solution

The fourth proportional to 252,008.94, 347,772.32 and 138,831.69 is: 191,587.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,008.94 : 347,772.32 = 138,831.69 : x
  2. Step 2: Convert to fraction form
    252,008.94/347,772.32 = 138,831.69/x
  3. Step 3: Cross multiply
    252,008.94x = 347,772.32 × 138,831.69
  4. Step 4: Simplify right side
    252,008.94x = 48,281,818,920.82
  5. Step 5: Solve for x
    x = 48,281,818,920.82/252,008.94
  6. Step 6: Final answer
    x = 191,587.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.