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Finding the Fourth Proportional to 189,386.98, 284,189.01 and 77,046.46

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Solution

The fourth proportional to 189,386.98, 284,189.01 and 77,046.46 is: 115,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,386.98 : 284,189.01 = 77,046.46 : x
  2. Step 2: Convert to fraction form
    189,386.98/284,189.01 = 77,046.46/x
  3. Step 3: Cross multiply
    189,386.98x = 284,189.01 × 77,046.46
  4. Step 4: Simplify right side
    189,386.98x = 21,895,757,191.40
  5. Step 5: Solve for x
    x = 21,895,757,191.40/189,386.98
  6. Step 6: Final answer
    x = 115,613.85

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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.