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Finding the Fourth Proportional to 189,588.97, 284,304.55 and 77,192.97

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Solution

The fourth proportional to 189,588.97, 284,304.55 and 77,192.97 is: 115,757.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,588.97 : 284,304.55 = 77,192.97 : x
  2. Step 2: Convert to fraction form
    189,588.97/284,304.55 = 77,192.97/x
  3. Step 3: Cross multiply
    189,588.97x = 284,304.55 × 77,192.97
  4. Step 4: Simplify right side
    189,588.97x = 21,946,312,599.01
  5. Step 5: Solve for x
    x = 21,946,312,599.01/189,588.97
  6. Step 6: Final answer
    x = 115,757.33

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1.5x scale

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.