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Finding the Fourth Proportional to 147,967.20, 221,950.80 and 49,471.20

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Solution

The fourth proportional to 147,967.20, 221,950.80 and 49,471.20 is: 74,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,967.20 : 221,950.80 = 49,471.20 : x
  2. Step 2: Convert to fraction form
    147,967.20/221,950.80 = 49,471.20/x
  3. Step 3: Cross multiply
    147,967.20x = 221,950.80 × 49,471.20
  4. Step 4: Simplify right side
    147,967.20x = 10,980,172,416.96
  5. Step 5: Solve for x
    x = 10,980,172,416.96/147,967.20
  6. Step 6: Final answer
    x = 74,206.80

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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.