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Finding the Fourth Proportional to 153,857.72, 230,763.49 and 48,663.02

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Solution

The fourth proportional to 153,857.72, 230,763.49 and 48,663.02 is: 72,987.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,857.72 : 230,763.49 = 48,663.02 : x
  2. Step 2: Convert to fraction form
    153,857.72/230,763.49 = 48,663.02/x
  3. Step 3: Cross multiply
    153,857.72x = 230,763.49 × 48,663.02
  4. Step 4: Simplify right side
    153,857.72x = 11,229,648,329.14
  5. Step 5: Solve for x
    x = 11,229,648,329.14/153,857.72
  6. Step 6: Final answer
    x = 72,987.23

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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.