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Finding the Fourth Proportional to 161,462.32, 222,823.32 and 101,013.64

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Solution

The fourth proportional to 161,462.32, 222,823.32 and 101,013.64 is: 139,402.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,462.32 : 222,823.32 = 101,013.64 : x
  2. Step 2: Convert to fraction form
    161,462.32/222,823.32 = 101,013.64/x
  3. Step 3: Cross multiply
    161,462.32x = 222,823.32 × 101,013.64
  4. Step 4: Simplify right side
    161,462.32x = 22,508,194,630.08
  5. Step 5: Solve for x
    x = 22,508,194,630.08/161,462.32
  6. Step 6: Final answer
    x = 139,402.15

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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.