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Finding the Fourth Proportional to 195,412.80, 293,119.20 and 142,924.80

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Solution

The fourth proportional to 195,412.80, 293,119.20 and 142,924.80 is: 214,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,412.80 : 293,119.20 = 142,924.80 : x
  2. Step 2: Convert to fraction form
    195,412.80/293,119.20 = 142,924.80/x
  3. Step 3: Cross multiply
    195,412.80x = 293,119.20 × 142,924.80
  4. Step 4: Simplify right side
    195,412.80x = 41,894,003,036.16
  5. Step 5: Solve for x
    x = 41,894,003,036.16/195,412.80
  6. Step 6: Final answer
    x = 214,387.20

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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.