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Finding the Fourth Proportional to 78,217.50, 117,328.17 and 28,302.30

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Solution

The fourth proportional to 78,217.50, 117,328.17 and 28,302.30 is: 42,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,217.50 : 117,328.17 = 28,302.30 : x
  2. Step 2: Convert to fraction form
    78,217.50/117,328.17 = 28,302.30/x
  3. Step 3: Cross multiply
    78,217.50x = 117,328.17 × 28,302.30
  4. Step 4: Simplify right side
    78,217.50x = 3,320,657,065.79
  5. Step 5: Solve for x
    x = 3,320,657,065.79/78,217.50
  6. Step 6: Final answer
    x = 42,454.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.