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Finding the Fourth Proportional to 138,630.40, 191,307.36 and 78,200.16

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Solution

The fourth proportional to 138,630.40, 191,307.36 and 78,200.16 is: 107,914.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,630.40 : 191,307.36 = 78,200.16 : x
  2. Step 2: Convert to fraction form
    138,630.40/191,307.36 = 78,200.16/x
  3. Step 3: Cross multiply
    138,630.40x = 191,307.36 × 78,200.16
  4. Step 4: Simplify right side
    138,630.40x = 14,960,266,161.18
  5. Step 5: Solve for x
    x = 14,960,266,161.18/138,630.40
  6. Step 6: Final answer
    x = 107,914.76

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