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Finding the Fourth Proportional to 232,913.78, 349,506.12 and 97,967.96

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Solution

The fourth proportional to 232,913.78, 349,506.12 and 97,967.96 is: 147,008.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,913.78 : 349,506.12 = 97,967.96 : x
  2. Step 2: Convert to fraction form
    232,913.78/349,506.12 = 97,967.96/x
  3. Step 3: Cross multiply
    232,913.78x = 349,506.12 × 97,967.96
  4. Step 4: Simplify right side
    232,913.78x = 34,240,401,583.92
  5. Step 5: Solve for x
    x = 34,240,401,583.92/232,913.78
  6. Step 6: Final answer
    x = 147,008.91

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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.