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Finding the Fourth Proportional to 362,688.20, 543,837.90 and 152,088.20

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Solution

The fourth proportional to 362,688.20, 543,837.90 and 152,088.20 is: 228,050.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,688.20 : 543,837.90 = 152,088.20 : x
  2. Step 2: Convert to fraction form
    362,688.20/543,837.90 = 152,088.20/x
  3. Step 3: Cross multiply
    362,688.20x = 543,837.90 × 152,088.20
  4. Step 4: Simplify right side
    362,688.20x = 82,711,327,302.78
  5. Step 5: Solve for x
    x = 82,711,327,302.78/362,688.20
  6. Step 6: Final answer
    x = 228,050.78

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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.