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Finding the Fourth Proportional to 266,026.30, 399,298.65 and 133,056.70

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Solution

The fourth proportional to 266,026.30, 399,298.65 and 133,056.70 is: 199,714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,026.30 : 399,298.65 = 133,056.70 : x
  2. Step 2: Convert to fraction form
    266,026.30/399,298.65 = 133,056.70/x
  3. Step 3: Cross multiply
    266,026.30x = 399,298.65 × 133,056.70
  4. Step 4: Simplify right side
    266,026.30x = 53,129,360,683.46
  5. Step 5: Solve for x
    x = 53,129,360,683.46/266,026.30
  6. Step 6: Final answer
    x = 199,714.69

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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.