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Finding the Fourth Proportional to 266,714.56, 400,228.98 and 98,353.36

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Solution

The fourth proportional to 266,714.56, 400,228.98 and 98,353.36 is: 147,587.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,714.56 : 400,228.98 = 98,353.36 : x
  2. Step 2: Convert to fraction form
    266,714.56/400,228.98 = 98,353.36/x
  3. Step 3: Cross multiply
    266,714.56x = 400,228.98 × 98,353.36
  4. Step 4: Simplify right side
    266,714.56x = 39,363,864,952.37
  5. Step 5: Solve for x
    x = 39,363,864,952.37/266,714.56
  6. Step 6: Final answer
    x = 147,587.99

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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.