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Finding the Fourth Proportional to 103,854.96, 155,670.12 and 41,456.88

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Solution

The fourth proportional to 103,854.96, 155,670.12 and 41,456.88 is: 62,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,854.96 : 155,670.12 = 41,456.88 : x
  2. Step 2: Convert to fraction form
    103,854.96/155,670.12 = 41,456.88/x
  3. Step 3: Cross multiply
    103,854.96x = 155,670.12 × 41,456.88
  4. Step 4: Simplify right side
    103,854.96x = 6,453,597,484.43
  5. Step 5: Solve for x
    x = 6,453,597,484.43/103,854.96
  6. Step 6: Final answer
    x = 62,140.48

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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.