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Finding the Fourth Proportional to 189,935.12, 284,797.48 and 77,694.15

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Solution

The fourth proportional to 189,935.12, 284,797.48 and 77,694.15 is: 116,498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,935.12 : 284,797.48 = 77,694.15 : x
  2. Step 2: Convert to fraction form
    189,935.12/284,797.48 = 77,694.15/x
  3. Step 3: Cross multiply
    189,935.12x = 284,797.48 × 77,694.15
  4. Step 4: Simplify right side
    189,935.12x = 22,127,098,130.74
  5. Step 5: Solve for x
    x = 22,127,098,130.74/189,935.12
  6. Step 6: Final answer
    x = 116,498.19

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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.