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Finding the Fourth Proportional to 78,842.80, 118,264.20 and 61,217.20

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Solution

The fourth proportional to 78,842.80, 118,264.20 and 61,217.20 is: 91,825.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,842.80 : 118,264.20 = 61,217.20 : x
  2. Step 2: Convert to fraction form
    78,842.80/118,264.20 = 61,217.20/x
  3. Step 3: Cross multiply
    78,842.80x = 118,264.20 × 61,217.20
  4. Step 4: Simplify right side
    78,842.80x = 7,239,803,184.24
  5. Step 5: Solve for x
    x = 7,239,803,184.24/78,842.80
  6. Step 6: Final answer
    x = 91,825.80

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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.