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Finding the Fourth Proportional to 202,646.75, 303,970.13 and 54,902.75

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Solution

The fourth proportional to 202,646.75, 303,970.13 and 54,902.75 is: 82,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,646.75 : 303,970.13 = 54,902.75 : x
  2. Step 2: Convert to fraction form
    202,646.75/303,970.13 = 54,902.75/x
  3. Step 3: Cross multiply
    202,646.75x = 303,970.13 × 54,902.75
  4. Step 4: Simplify right side
    202,646.75x = 16,688,796,054.86
  5. Step 5: Solve for x
    x = 16,688,796,054.86/202,646.75
  6. Step 6: Final answer
    x = 82,354.13

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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.