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Finding the Fourth Proportional to 273,264.23, 409,908.63 and 83,710.76

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Solution

The fourth proportional to 273,264.23, 409,908.63 and 83,710.76 is: 125,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,264.23 : 409,908.63 = 83,710.76 : x
  2. Step 2: Convert to fraction form
    273,264.23/409,908.63 = 83,710.76/x
  3. Step 3: Cross multiply
    273,264.23x = 409,908.63 × 83,710.76
  4. Step 4: Simplify right side
    273,264.23x = 34,313,760,898.32
  5. Step 5: Solve for x
    x = 34,313,760,898.32/273,264.23
  6. Step 6: Final answer
    x = 125,569.90

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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.