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Finding the Fourth Proportional to 147,193.44, 220,827.42 and 42,012.78

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Solution

The fourth proportional to 147,193.44, 220,827.42 and 42,012.78 is: 63,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,193.44 : 220,827.42 = 42,012.78 : x
  2. Step 2: Convert to fraction form
    147,193.44/220,827.42 = 42,012.78/x
  3. Step 3: Cross multiply
    147,193.44x = 220,827.42 × 42,012.78
  4. Step 4: Simplify right side
    147,193.44x = 9,277,573,814.43
  5. Step 5: Solve for x
    x = 9,277,573,814.43/147,193.44
  6. Step 6: Final answer
    x = 63,029.80

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1.5x scale

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.