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Finding the Fourth Proportional to 98,265.85, 147,397.58 and 69,295.14

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Solution

The fourth proportional to 98,265.85, 147,397.58 and 69,295.14 is: 103,941.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,265.85 : 147,397.58 = 69,295.14 : x
  2. Step 2: Convert to fraction form
    98,265.85/147,397.58 = 69,295.14/x
  3. Step 3: Cross multiply
    98,265.85x = 147,397.58 × 69,295.14
  4. Step 4: Simplify right side
    98,265.85x = 10,213,936,115.00
  5. Step 5: Solve for x
    x = 10,213,936,115.00/98,265.85
  6. Step 6: Final answer
    x = 103,941.87

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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.