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Finding the Fourth Proportional to 266,098.38, 399,350.61 and 97,778.22

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Solution

The fourth proportional to 266,098.38, 399,350.61 and 97,778.22 is: 146,741.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,098.38 : 399,350.61 = 97,778.22 : x
  2. Step 2: Convert to fraction form
    266,098.38/399,350.61 = 97,778.22/x
  3. Step 3: Cross multiply
    266,098.38x = 399,350.61 × 97,778.22
  4. Step 4: Simplify right side
    266,098.38x = 39,047,791,801.71
  5. Step 5: Solve for x
    x = 39,047,791,801.71/266,098.38
  6. Step 6: Final answer
    x = 146,741.94

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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.