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Finding the Fourth Proportional to 202,632, 279,632.16 and 113,225.28

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Solution

The fourth proportional to 202,632, 279,632.16 and 113,225.28 is: 156,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,632 : 279,632.16 = 113,225.28 : x
  2. Step 2: Convert to fraction form
    202,632/279,632.16 = 113,225.28/x
  3. Step 3: Cross multiply
    202,632x = 279,632.16 × 113,225.28
  4. Step 4: Simplify right side
    202,632x = 31,661,429,613.00
  5. Step 5: Solve for x
    x = 31,661,429,613.00/202,632
  6. Step 6: Final answer
    x = 156,250.89

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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.