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Finding the Fourth Proportional to 140,203.84, 193,472.40 and 83,616.16

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Solution

The fourth proportional to 140,203.84, 193,472.40 and 83,616.16 is: 115,384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,203.84 : 193,472.40 = 83,616.16 : x
  2. Step 2: Convert to fraction form
    140,203.84/193,472.40 = 83,616.16/x
  3. Step 3: Cross multiply
    140,203.84x = 193,472.40 × 83,616.16
  4. Step 4: Simplify right side
    140,203.84x = 16,177,419,153.98
  5. Step 5: Solve for x
    x = 16,177,419,153.98/140,203.84
  6. Step 6: Final answer
    x = 115,384.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.