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Finding the Fourth Proportional to 189,281.88, 284,097.78 and 95,853.24

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Solution

The fourth proportional to 189,281.88, 284,097.78 and 95,853.24 is: 143,868.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,281.88 : 284,097.78 = 95,853.24 : x
  2. Step 2: Convert to fraction form
    189,281.88/284,097.78 = 95,853.24/x
  3. Step 3: Cross multiply
    189,281.88x = 284,097.78 × 95,853.24
  4. Step 4: Simplify right side
    189,281.88x = 27,231,692,689.81
  5. Step 5: Solve for x
    x = 27,231,692,689.81/189,281.88
  6. Step 6: Final answer
    x = 143,868.46

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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.