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Finding the Fourth Proportional to 78,177.68, 107,885.29 and 42,367.69

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Solution

The fourth proportional to 78,177.68, 107,885.29 and 42,367.69 is: 58,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,177.68 : 107,885.29 = 42,367.69 : x
  2. Step 2: Convert to fraction form
    78,177.68/107,885.29 = 42,367.69/x
  3. Step 3: Cross multiply
    78,177.68x = 107,885.29 × 42,367.69
  4. Step 4: Simplify right side
    78,177.68x = 4,570,850,522.28
  5. Step 5: Solve for x
    x = 4,570,850,522.28/78,177.68
  6. Step 6: Final answer
    x = 58,467.46

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1.5x scale

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.