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Finding the Fourth Proportional to 98,534.80, 147,850.35 and 61,084.85

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Solution

The fourth proportional to 98,534.80, 147,850.35 and 61,084.85 is: 91,657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,534.80 : 147,850.35 = 61,084.85 : x
  2. Step 2: Convert to fraction form
    98,534.80/147,850.35 = 61,084.85/x
  3. Step 3: Cross multiply
    98,534.80x = 147,850.35 × 61,084.85
  4. Step 4: Simplify right side
    98,534.80x = 9,031,416,315.54
  5. Step 5: Solve for x
    x = 9,031,416,315.54/98,534.80
  6. Step 6: Final answer
    x = 91,657.13

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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.