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Finding the Fourth Proportional to 98,200.40, 147,310.13 and 39,022.82

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Solution

The fourth proportional to 98,200.40, 147,310.13 and 39,022.82 is: 58,538.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,200.40 : 147,310.13 = 39,022.82 : x
  2. Step 2: Convert to fraction form
    98,200.40/147,310.13 = 39,022.82/x
  3. Step 3: Cross multiply
    98,200.40x = 147,310.13 × 39,022.82
  4. Step 4: Simplify right side
    98,200.40x = 5,748,455,755.50
  5. Step 5: Solve for x
    x = 5,748,455,755.50/98,200.40
  6. Step 6: Final answer
    x = 58,538.01

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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.