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Finding the Fourth Proportional to 141,805.22, 212,707.82 and 97,297.04

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Solution

The fourth proportional to 141,805.22, 212,707.82 and 97,297.04 is: 145,945.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,805.22 : 212,707.82 = 97,297.04 : x
  2. Step 2: Convert to fraction form
    141,805.22/212,707.82 = 97,297.04/x
  3. Step 3: Cross multiply
    141,805.22x = 212,707.82 × 97,297.04
  4. Step 4: Simplify right side
    141,805.22x = 20,695,839,720.83
  5. Step 5: Solve for x
    x = 20,695,839,720.83/141,805.22
  6. Step 6: Final answer
    x = 145,945.55

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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.