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Finding the Fourth Proportional to 227,574.80, 313,978.28 and 147,049.76

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Solution

The fourth proportional to 227,574.80, 313,978.28 and 147,049.76 is: 202,880.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,574.80 : 313,978.28 = 147,049.76 : x
  2. Step 2: Convert to fraction form
    227,574.80/313,978.28 = 147,049.76/x
  3. Step 3: Cross multiply
    227,574.80x = 313,978.28 × 147,049.76
  4. Step 4: Simplify right side
    227,574.80x = 46,170,430,719.21
  5. Step 5: Solve for x
    x = 46,170,430,719.21/227,574.80
  6. Step 6: Final answer
    x = 202,880.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.