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Finding the Fourth Proportional to 203,537.31, 280,870.03 and 112,886.76

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Solution

The fourth proportional to 203,537.31, 280,870.03 and 112,886.76 is: 155,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,537.31 : 280,870.03 = 112,886.76 : x
  2. Step 2: Convert to fraction form
    203,537.31/280,870.03 = 112,886.76/x
  3. Step 3: Cross multiply
    203,537.31x = 280,870.03 × 112,886.76
  4. Step 4: Simplify right side
    203,537.31x = 31,706,508,862.17
  5. Step 5: Solve for x
    x = 31,706,508,862.17/203,537.31
  6. Step 6: Final answer
    x = 155,777.38

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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.