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Finding the Fourth Proportional to 203,587.82, 280,767.12 and 127,113.82

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Solution

The fourth proportional to 203,587.82, 280,767.12 and 127,113.82 is: 175,302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,587.82 : 280,767.12 = 127,113.82 : x
  2. Step 2: Convert to fraction form
    203,587.82/280,767.12 = 127,113.82/x
  3. Step 3: Cross multiply
    203,587.82x = 280,767.12 × 127,113.82
  4. Step 4: Simplify right side
    203,587.82x = 35,689,381,153.60
  5. Step 5: Solve for x
    x = 35,689,381,153.60/203,587.82
  6. Step 6: Final answer
    x = 175,302.14

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1.5x scale

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.