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Finding the Fourth Proportional to 114,290.92, 171,699.90 and 109,567

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Solution

The fourth proportional to 114,290.92, 171,699.90 and 109,567 is: 164,603.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,290.92 : 171,699.90 = 109,567 : x
  2. Step 2: Convert to fraction form
    114,290.92/171,699.90 = 109,567/x
  3. Step 3: Cross multiply
    114,290.92x = 171,699.90 × 109,567
  4. Step 4: Simplify right side
    114,290.92x = 18,812,642,943.30
  5. Step 5: Solve for x
    x = 18,812,642,943.30/114,290.92
  6. Step 6: Final answer
    x = 164,603.13

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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.