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Finding the Fourth Proportional to 212,632.80, 318,949.20 and 178,807.20

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Solution

The fourth proportional to 212,632.80, 318,949.20 and 178,807.20 is: 268,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,632.80 : 318,949.20 = 178,807.20 : x
  2. Step 2: Convert to fraction form
    212,632.80/318,949.20 = 178,807.20/x
  3. Step 3: Cross multiply
    212,632.80x = 318,949.20 × 178,807.20
  4. Step 4: Simplify right side
    212,632.80x = 57,030,413,394.24
  5. Step 5: Solve for x
    x = 57,030,413,394.24/212,632.80
  6. Step 6: Final answer
    x = 268,210.80

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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.