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Finding the Fourth Proportional to 202,352, 279,250.24 and 111,707.76

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Solution

The fourth proportional to 202,352, 279,250.24 and 111,707.76 is: 154,159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,352 : 279,250.24 = 111,707.76 : x
  2. Step 2: Convert to fraction form
    202,352/279,250.24 = 111,707.76/x
  3. Step 3: Cross multiply
    202,352x = 279,250.24 × 111,707.76
  4. Step 4: Simplify right side
    202,352x = 31,194,418,789.86
  5. Step 5: Solve for x
    x = 31,194,418,789.86/202,352
  6. Step 6: Final answer
    x = 154,159.18

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