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Finding the Fourth Proportional to 205,593.78, 308,436 and 87,366.18

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Solution

The fourth proportional to 205,593.78, 308,436 and 87,366.18 is: 131,068.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,593.78 : 308,436 = 87,366.18 : x
  2. Step 2: Convert to fraction form
    205,593.78/308,436 = 87,366.18/x
  3. Step 3: Cross multiply
    205,593.78x = 308,436 × 87,366.18
  4. Step 4: Simplify right side
    205,593.78x = 26,946,875,094.48
  5. Step 5: Solve for x
    x = 26,946,875,094.48/205,593.78
  6. Step 6: Final answer
    x = 131,068.53

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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.