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Finding the Fourth Proportional to 273,126.11, 409,749.30 and 83,587.93

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Solution

The fourth proportional to 273,126.11, 409,749.30 and 83,587.93 is: 125,400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,126.11 : 409,749.30 = 83,587.93 : x
  2. Step 2: Convert to fraction form
    273,126.11/409,749.30 = 83,587.93/x
  3. Step 3: Cross multiply
    273,126.11x = 409,749.30 × 83,587.93
  4. Step 4: Simplify right side
    273,126.11x = 34,250,094,781.58
  5. Step 5: Solve for x
    x = 34,250,094,781.58/273,126.11
  6. Step 6: Final answer
    x = 125,400.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.