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Finding the Fourth Proportional to 106,899.48, 160,404.53 and 77,559.48

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Solution

The fourth proportional to 106,899.48, 160,404.53 and 77,559.48 is: 116,379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,899.48 : 160,404.53 = 77,559.48 : x
  2. Step 2: Convert to fraction form
    106,899.48/160,404.53 = 77,559.48/x
  3. Step 3: Cross multiply
    106,899.48x = 160,404.53 × 77,559.48
  4. Step 4: Simplify right side
    106,899.48x = 12,440,891,936.44
  5. Step 5: Solve for x
    x = 12,440,891,936.44/106,899.48
  6. Step 6: Final answer
    x = 116,379.35

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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.