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Finding the Fourth Proportional to 165,655.20, 248,482.80 and 54,847.20

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Solution

The fourth proportional to 165,655.20, 248,482.80 and 54,847.20 is: 82,270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,655.20 : 248,482.80 = 54,847.20 : x
  2. Step 2: Convert to fraction form
    165,655.20/248,482.80 = 54,847.20/x
  3. Step 3: Cross multiply
    165,655.20x = 248,482.80 × 54,847.20
  4. Step 4: Simplify right side
    165,655.20x = 13,628,585,828.16
  5. Step 5: Solve for x
    x = 13,628,585,828.16/165,655.20
  6. Step 6: Final answer
    x = 82,270.80

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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.