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Finding the Fourth Proportional to 266,098.70, 399,148.06 and 266,098.70

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Solution

The fourth proportional to 266,098.70, 399,148.06 and 266,098.70 is: 399,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,098.70 : 399,148.06 = 266,098.70 : x
  2. Step 2: Convert to fraction form
    266,098.70/399,148.06 = 266,098.70/x
  3. Step 3: Cross multiply
    266,098.70x = 399,148.06 × 266,098.70
  4. Step 4: Simplify right side
    266,098.70x = 106,212,779,873.52
  5. Step 5: Solve for x
    x = 106,212,779,873.52/266,098.70
  6. Step 6: Final answer
    x = 399,148.06

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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.