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Finding the Fourth Proportional to 152,843.20, 229,264.80 and 113,477.20

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Solution

The fourth proportional to 152,843.20, 229,264.80 and 113,477.20 is: 170,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,843.20 : 229,264.80 = 113,477.20 : x
  2. Step 2: Convert to fraction form
    152,843.20/229,264.80 = 113,477.20/x
  3. Step 3: Cross multiply
    152,843.20x = 229,264.80 × 113,477.20
  4. Step 4: Simplify right side
    152,843.20x = 26,016,327,562.56
  5. Step 5: Solve for x
    x = 26,016,327,562.56/152,843.20
  6. Step 6: Final answer
    x = 170,215.80

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1.5x scale

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.