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Finding the Fourth Proportional to 185,697.27, 256,262.13 and 100,814.40

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Solution

The fourth proportional to 185,697.27, 256,262.13 and 100,814.40 is: 139,123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,697.27 : 256,262.13 = 100,814.40 : x
  2. Step 2: Convert to fraction form
    185,697.27/256,262.13 = 100,814.40/x
  3. Step 3: Cross multiply
    185,697.27x = 256,262.13 × 100,814.40
  4. Step 4: Simplify right side
    185,697.27x = 25,834,912,878.67
  5. Step 5: Solve for x
    x = 25,834,912,878.67/185,697.27
  6. Step 6: Final answer
    x = 139,123.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.