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Finding the Fourth Proportional to 98,615.20, 147,922.80 and 61,411.90

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Solution

The fourth proportional to 98,615.20, 147,922.80 and 61,411.90 is: 92,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,615.20 : 147,922.80 = 61,411.90 : x
  2. Step 2: Convert to fraction form
    98,615.20/147,922.80 = 61,411.90/x
  3. Step 3: Cross multiply
    98,615.20x = 147,922.80 × 61,411.90
  4. Step 4: Simplify right side
    98,615.20x = 9,084,220,201.32
  5. Step 5: Solve for x
    x = 9,084,220,201.32/98,615.20
  6. Step 6: Final answer
    x = 92,117.85

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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.