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Finding the Fourth Proportional to 232,807.12, 349,219.32 and 75,037.84

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Solution

The fourth proportional to 232,807.12, 349,219.32 and 75,037.84 is: 112,559.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,807.12 : 349,219.32 = 75,037.84 : x
  2. Step 2: Convert to fraction form
    232,807.12/349,219.32 = 75,037.84/x
  3. Step 3: Cross multiply
    232,807.12x = 349,219.32 × 75,037.84
  4. Step 4: Simplify right side
    232,807.12x = 26,204,663,459.07
  5. Step 5: Solve for x
    x = 26,204,663,459.07/232,807.12
  6. Step 6: Final answer
    x = 112,559.54

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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.