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Finding the Fourth Proportional to 115,626.39, 159,590.13 and 70,294.75

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Solution

The fourth proportional to 115,626.39, 159,590.13 and 70,294.75 is: 97,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,626.39 : 159,590.13 = 70,294.75 : x
  2. Step 2: Convert to fraction form
    115,626.39/159,590.13 = 70,294.75/x
  3. Step 3: Cross multiply
    115,626.39x = 159,590.13 × 70,294.75
  4. Step 4: Simplify right side
    115,626.39x = 11,218,348,290.82
  5. Step 5: Solve for x
    x = 11,218,348,290.82/115,626.39
  6. Step 6: Final answer
    x = 97,022.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.