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Finding the Fourth Proportional to 153,898.36, 230,860.70 and 54,049.86

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Solution

The fourth proportional to 153,898.36, 230,860.70 and 54,049.86 is: 81,079.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,898.36 : 230,860.70 = 54,049.86 : x
  2. Step 2: Convert to fraction form
    153,898.36/230,860.70 = 54,049.86/x
  3. Step 3: Cross multiply
    153,898.36x = 230,860.70 × 54,049.86
  4. Step 4: Simplify right side
    153,898.36x = 12,477,988,514.50
  5. Step 5: Solve for x
    x = 12,477,988,514.50/153,898.36
  6. Step 6: Final answer
    x = 81,079.41

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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.