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Finding the Fourth Proportional to 78,197.19, 107,912.25 and 42,387.18

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Solution

The fourth proportional to 78,197.19, 107,912.25 and 42,387.18 is: 58,494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,197.19 : 107,912.25 = 42,387.18 : x
  2. Step 2: Convert to fraction form
    78,197.19/107,912.25 = 42,387.18/x
  3. Step 3: Cross multiply
    78,197.19x = 107,912.25 × 42,387.18
  4. Step 4: Simplify right side
    78,197.19x = 4,574,095,964.96
  5. Step 5: Solve for x
    x = 4,574,095,964.96/78,197.19
  6. Step 6: Final answer
    x = 58,494.38

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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.