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Finding the Fourth Proportional to 204,776.46, 307,302.93 and 71,657.87

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Solution

The fourth proportional to 204,776.46, 307,302.93 and 71,657.87 is: 107,535.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,776.46 : 307,302.93 = 71,657.87 : x
  2. Step 2: Convert to fraction form
    204,776.46/307,302.93 = 71,657.87/x
  3. Step 3: Cross multiply
    204,776.46x = 307,302.93 × 71,657.87
  4. Step 4: Simplify right side
    204,776.46x = 22,020,671,872.04
  5. Step 5: Solve for x
    x = 22,020,671,872.04/204,776.46
  6. Step 6: Final answer
    x = 107,535.17

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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.