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Finding the Fourth Proportional to 153,816.30, 230,704.65 and 48,645.90

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Solution

The fourth proportional to 153,816.30, 230,704.65 and 48,645.90 is: 72,962.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,816.30 : 230,704.65 = 48,645.90 : x
  2. Step 2: Convert to fraction form
    153,816.30/230,704.65 = 48,645.90/x
  3. Step 3: Cross multiply
    153,816.30x = 230,704.65 × 48,645.90
  4. Step 4: Simplify right side
    153,816.30x = 11,222,835,333.44
  5. Step 5: Solve for x
    x = 11,222,835,333.44/153,816.30
  6. Step 6: Final answer
    x = 72,962.59

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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.