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Finding the Fourth Proportional to 362,549.92, 543,902.70 and 152,066.56

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Solution

The fourth proportional to 362,549.92, 543,902.70 and 152,066.56 is: 228,132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,549.92 : 543,902.70 = 152,066.56 : x
  2. Step 2: Convert to fraction form
    362,549.92/543,902.70 = 152,066.56/x
  3. Step 3: Cross multiply
    362,549.92x = 543,902.70 × 152,066.56
  4. Step 4: Simplify right side
    362,549.92x = 82,709,412,563.71
  5. Step 5: Solve for x
    x = 82,709,412,563.71/362,549.92
  6. Step 6: Final answer
    x = 228,132.48

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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.