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Finding the Fourth Proportional to 253,642.80, 350,026.92 and 140,465.46

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Solution

The fourth proportional to 253,642.80, 350,026.92 and 140,465.46 is: 193,842.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,642.80 : 350,026.92 = 140,465.46 : x
  2. Step 2: Convert to fraction form
    253,642.80/350,026.92 = 140,465.46/x
  3. Step 3: Cross multiply
    253,642.80x = 350,026.92 × 140,465.46
  4. Step 4: Simplify right side
    253,642.80x = 49,166,692,330.18
  5. Step 5: Solve for x
    x = 49,166,692,330.18/253,642.80
  6. Step 6: Final answer
    x = 193,842.26

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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.