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Finding the Fourth Proportional to 98,098.30, 147,148.80 and 27,977.62

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Solution

The fourth proportional to 98,098.30, 147,148.80 and 27,977.62 is: 41,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,098.30 : 147,148.80 = 27,977.62 : x
  2. Step 2: Convert to fraction form
    98,098.30/147,148.80 = 27,977.62/x
  3. Step 3: Cross multiply
    98,098.30x = 147,148.80 × 27,977.62
  4. Step 4: Simplify right side
    98,098.30x = 4,116,873,209.86
  5. Step 5: Solve for x
    x = 4,116,873,209.86/98,098.30
  6. Step 6: Final answer
    x = 41,966.82

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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.