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Finding the Fourth Proportional to 107,214.38, 147,859.02 and 66,931.86

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Solution

The fourth proportional to 107,214.38, 147,859.02 and 66,931.86 is: 92,305.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,214.38 : 147,859.02 = 66,931.86 : x
  2. Step 2: Convert to fraction form
    107,214.38/147,859.02 = 66,931.86/x
  3. Step 3: Cross multiply
    107,214.38x = 147,859.02 × 66,931.86
  4. Step 4: Simplify right side
    107,214.38x = 9,896,479,226.38
  5. Step 5: Solve for x
    x = 9,896,479,226.38/107,214.38
  6. Step 6: Final answer
    x = 92,305.53

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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.