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Finding the Fourth Proportional to 202,700.86, 302,566.99 and 178,759.90

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Solution

The fourth proportional to 202,700.86, 302,566.99 and 178,759.90 is: 266,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,700.86 : 302,566.99 = 178,759.90 : x
  2. Step 2: Convert to fraction form
    202,700.86/302,566.99 = 178,759.90/x
  3. Step 3: Cross multiply
    202,700.86x = 302,566.99 × 178,759.90
  4. Step 4: Simplify right side
    202,700.86x = 54,086,844,875.70
  5. Step 5: Solve for x
    x = 54,086,844,875.70/202,700.86
  6. Step 6: Final answer
    x = 266,830.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.