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Finding the Fourth Proportional to 266,600.76, 399,901.08 and 106,748.64

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Solution

The fourth proportional to 266,600.76, 399,901.08 and 106,748.64 is: 160,122.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,600.76 : 399,901.08 = 106,748.64 : x
  2. Step 2: Convert to fraction form
    266,600.76/399,901.08 = 106,748.64/x
  3. Step 3: Cross multiply
    266,600.76x = 399,901.08 × 106,748.64
  4. Step 4: Simplify right side
    266,600.76x = 42,688,896,424.53
  5. Step 5: Solve for x
    x = 42,688,896,424.53/266,600.76
  6. Step 6: Final answer
    x = 160,122.94

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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.