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Finding the Fourth Proportional to 202,282.90, 303,084.15 and 160,000.90

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Solution

The fourth proportional to 202,282.90, 303,084.15 and 160,000.90 is: 239,732.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,282.90 : 303,084.15 = 160,000.90 : x
  2. Step 2: Convert to fraction form
    202,282.90/303,084.15 = 160,000.90/x
  3. Step 3: Cross multiply
    202,282.90x = 303,084.15 × 160,000.90
  4. Step 4: Simplify right side
    202,282.90x = 48,493,736,775.74
  5. Step 5: Solve for x
    x = 48,493,736,775.74/202,282.90
  6. Step 6: Final answer
    x = 239,732.26

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1.5x scale

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.