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Finding the Fourth Proportional to 197,381.84, 296,023.44 and 77,463.14

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Solution

The fourth proportional to 197,381.84, 296,023.44 and 77,463.14 is: 116,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,381.84 : 296,023.44 = 77,463.14 : x
  2. Step 2: Convert to fraction form
    197,381.84/296,023.44 = 77,463.14/x
  3. Step 3: Cross multiply
    197,381.84x = 296,023.44 × 77,463.14
  4. Step 4: Simplify right side
    197,381.84x = 22,930,905,176.00
  5. Step 5: Solve for x
    x = 22,930,905,176.00/197,381.84
  6. Step 6: Final answer
    x = 116,175.35

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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.