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Finding the Fourth Proportional to 163,842.80, 245,764.20 and 53,034.80

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Solution

The fourth proportional to 163,842.80, 245,764.20 and 53,034.80 is: 79,552.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,842.80 : 245,764.20 = 53,034.80 : x
  2. Step 2: Convert to fraction form
    163,842.80/245,764.20 = 53,034.80/x
  3. Step 3: Cross multiply
    163,842.80x = 245,764.20 × 53,034.80
  4. Step 4: Simplify right side
    163,842.80x = 13,034,055,194.16
  5. Step 5: Solve for x
    x = 13,034,055,194.16/163,842.80
  6. Step 6: Final answer
    x = 79,552.20

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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.