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Finding the Fourth Proportional to 151,596.96, 209,192.18 and 83,616.49

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Solution

The fourth proportional to 151,596.96, 209,192.18 and 83,616.49 is: 115,384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,596.96 : 209,192.18 = 83,616.49 : x
  2. Step 2: Convert to fraction form
    151,596.96/209,192.18 = 83,616.49/x
  3. Step 3: Cross multiply
    151,596.96x = 209,192.18 × 83,616.49
  4. Step 4: Simplify right side
    151,596.96x = 17,491,915,827.05
  5. Step 5: Solve for x
    x = 17,491,915,827.05/151,596.96
  6. Step 6: Final answer
    x = 115,384.34

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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.