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Finding the Fourth Proportional to 225,769.74, 311,773.16 and 145,337.06

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Solution

The fourth proportional to 225,769.74, 311,773.16 and 145,337.06 is: 200,700.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,769.74 : 311,773.16 = 145,337.06 : x
  2. Step 2: Convert to fraction form
    225,769.74/311,773.16 = 145,337.06/x
  3. Step 3: Cross multiply
    225,769.74x = 311,773.16 × 145,337.06
  4. Step 4: Simplify right side
    225,769.74x = 45,312,194,461.31
  5. Step 5: Solve for x
    x = 45,312,194,461.31/225,769.74
  6. Step 6: Final answer
    x = 200,700.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.