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Finding the Fourth Proportional to 189,418.98, 284,167.08 and 77,098.26

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Solution

The fourth proportional to 189,418.98, 284,167.08 and 77,098.26 is: 115,663.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,418.98 : 284,167.08 = 77,098.26 : x
  2. Step 2: Convert to fraction form
    189,418.98/284,167.08 = 77,098.26/x
  3. Step 3: Cross multiply
    189,418.98x = 284,167.08 × 77,098.26
  4. Step 4: Simplify right side
    189,418.98x = 21,908,787,417.28
  5. Step 5: Solve for x
    x = 21,908,787,417.28/189,418.98
  6. Step 6: Final answer
    x = 115,663.11

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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.