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Finding the Fourth Proportional to 145,842.80, 218,764.20 and 122,514.80

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Solution

The fourth proportional to 145,842.80, 218,764.20 and 122,514.80 is: 183,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,842.80 : 218,764.20 = 122,514.80 : x
  2. Step 2: Convert to fraction form
    145,842.80/218,764.20 = 122,514.80/x
  3. Step 3: Cross multiply
    145,842.80x = 218,764.20 × 122,514.80
  4. Step 4: Simplify right side
    145,842.80x = 26,801,852,210.16
  5. Step 5: Solve for x
    x = 26,801,852,210.16/145,842.80
  6. Step 6: Final answer
    x = 183,772.20

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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.