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Finding the Fourth Proportional to 197,549.93, 296,204.90 and 77,463

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Solution

The fourth proportional to 197,549.93, 296,204.90 and 77,463 is: 116,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,549.93 : 296,204.90 = 77,463 : x
  2. Step 2: Convert to fraction form
    197,549.93/296,204.90 = 77,463/x
  3. Step 3: Cross multiply
    197,549.93x = 296,204.90 × 77,463
  4. Step 4: Simplify right side
    197,549.93x = 22,944,919,781.39
  5. Step 5: Solve for x
    x = 22,944,919,781.39/197,549.93
  6. Step 6: Final answer
    x = 116,147.45

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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.