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Finding the Fourth Proportional to 153,389.20, 230,083.80 and 114,023.20

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Solution

The fourth proportional to 153,389.20, 230,083.80 and 114,023.20 is: 171,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,389.20 : 230,083.80 = 114,023.20 : x
  2. Step 2: Convert to fraction form
    153,389.20/230,083.80 = 114,023.20/x
  3. Step 3: Cross multiply
    153,389.20x = 230,083.80 × 114,023.20
  4. Step 4: Simplify right side
    153,389.20x = 26,234,891,144.16
  5. Step 5: Solve for x
    x = 26,234,891,144.16/153,389.20
  6. Step 6: Final answer
    x = 171,034.80

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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.