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Finding the Fourth Proportional to 202,699.86, 302,565.50 and 178,758.90

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Solution

The fourth proportional to 202,699.86, 302,565.50 and 178,758.90 is: 266,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,699.86 : 302,565.50 = 178,758.90 : x
  2. Step 2: Convert to fraction form
    202,699.86/302,565.50 = 178,758.90/x
  3. Step 3: Cross multiply
    202,699.86x = 302,565.50 × 178,758.90
  4. Step 4: Simplify right side
    202,699.86x = 54,086,275,064.16
  5. Step 5: Solve for x
    x = 54,086,275,064.16/202,699.86
  6. Step 6: Final answer
    x = 266,829.37

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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.