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Finding the Fourth Proportional to 138,706.71, 191,415.20 and 78,290.03

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Solution

The fourth proportional to 138,706.71, 191,415.20 and 78,290.03 is: 108,040.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,706.71 : 191,415.20 = 78,290.03 : x
  2. Step 2: Convert to fraction form
    138,706.71/191,415.20 = 78,290.03/x
  3. Step 3: Cross multiply
    138,706.71x = 191,415.20 × 78,290.03
  4. Step 4: Simplify right side
    138,706.71x = 14,985,900,401.93
  5. Step 5: Solve for x
    x = 14,985,900,401.93/138,706.71
  6. Step 6: Final answer
    x = 108,040.20

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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.