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Finding the Fourth Proportional to 141,805.72, 212,708.56 and 97,297.52

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Solution

The fourth proportional to 141,805.72, 212,708.56 and 97,297.52 is: 145,946.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,805.72 : 212,708.56 = 97,297.52 : x
  2. Step 2: Convert to fraction form
    141,805.72/212,708.56 = 97,297.52/x
  3. Step 3: Cross multiply
    141,805.72x = 212,708.56 × 97,297.52
  4. Step 4: Simplify right side
    141,805.72x = 20,696,015,370.77
  5. Step 5: Solve for x
    x = 20,696,015,370.77/141,805.72
  6. Step 6: Final answer
    x = 145,946.27

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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.