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Finding the Fourth Proportional to 147,047.20, 205,422.20 and 147,047.20

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Solution

The fourth proportional to 147,047.20, 205,422.20 and 147,047.20 is: 205,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,047.20 : 205,422.20 = 147,047.20 : x
  2. Step 2: Convert to fraction form
    147,047.20/205,422.20 = 147,047.20/x
  3. Step 3: Cross multiply
    147,047.20x = 205,422.20 × 147,047.20
  4. Step 4: Simplify right side
    147,047.20x = 30,206,759,327.84
  5. Step 5: Solve for x
    x = 30,206,759,327.84/147,047.20
  6. Step 6: Final answer
    x = 205,422.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.