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Finding the Fourth Proportional to 273,146.75, 409,768.58 and 83,602.92

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Solution

The fourth proportional to 273,146.75, 409,768.58 and 83,602.92 is: 125,419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,146.75 : 409,768.58 = 83,602.92 : x
  2. Step 2: Convert to fraction form
    273,146.75/409,768.58 = 83,602.92/x
  3. Step 3: Cross multiply
    273,146.75x = 409,768.58 × 83,602.92
  4. Step 4: Simplify right side
    273,146.75x = 34,257,849,812.25
  5. Step 5: Solve for x
    x = 34,257,849,812.25/273,146.75
  6. Step 6: Final answer
    x = 125,419.21

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1.5x scale

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.