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Finding the Fourth Proportional to 202,095.20, 302,559.60 and 178,767.20

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Solution

The fourth proportional to 202,095.20, 302,559.60 and 178,767.20 is: 267,634.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,095.20 : 302,559.60 = 178,767.20 : x
  2. Step 2: Convert to fraction form
    202,095.20/302,559.60 = 178,767.20/x
  3. Step 3: Cross multiply
    202,095.20x = 302,559.60 × 178,767.20
  4. Step 4: Simplify right side
    202,095.20x = 54,087,732,525.12
  5. Step 5: Solve for x
    x = 54,087,732,525.12/202,095.20
  6. Step 6: Final answer
    x = 267,634.92

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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.