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Finding the Fourth Proportional to 98,198.64, 147,272.85 and 42,047.82

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Solution

The fourth proportional to 98,198.64, 147,272.85 and 42,047.82 is: 63,060.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,198.64 : 147,272.85 = 42,047.82 : x
  2. Step 2: Convert to fraction form
    98,198.64/147,272.85 = 42,047.82/x
  3. Step 3: Cross multiply
    98,198.64x = 147,272.85 × 42,047.82
  4. Step 4: Simplify right side
    98,198.64x = 6,192,502,287.69
  5. Step 5: Solve for x
    x = 6,192,502,287.69/98,198.64
  6. Step 6: Final answer
    x = 63,060.98

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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.