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Finding the Fourth Proportional to 162,399.52, 224,000.13 and 105,887.44

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Solution

The fourth proportional to 162,399.52, 224,000.13 and 105,887.44 is: 146,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,399.52 : 224,000.13 = 105,887.44 : x
  2. Step 2: Convert to fraction form
    162,399.52/224,000.13 = 105,887.44/x
  3. Step 3: Cross multiply
    162,399.52x = 224,000.13 × 105,887.44
  4. Step 4: Simplify right side
    162,399.52x = 23,718,800,325.37
  5. Step 5: Solve for x
    x = 23,718,800,325.37/162,399.52
  6. Step 6: Final answer
    x = 146,052.16

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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.