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Finding the Fourth Proportional to 233,105.06, 349,665 and 64,627.10

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Solution

The fourth proportional to 233,105.06, 349,665 and 64,627.10 is: 96,942.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,105.06 : 349,665 = 64,627.10 : x
  2. Step 2: Convert to fraction form
    233,105.06/349,665 = 64,627.10/x
  3. Step 3: Cross multiply
    233,105.06x = 349,665 × 64,627.10
  4. Step 4: Simplify right side
    233,105.06x = 22,597,834,921.50
  5. Step 5: Solve for x
    x = 22,597,834,921.50/233,105.06
  6. Step 6: Final answer
    x = 96,942.70

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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.