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Finding the Fourth Proportional to 153,794.56, 230,690.40 and 48,613.44

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Solution

The fourth proportional to 153,794.56, 230,690.40 and 48,613.44 is: 72,919.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,794.56 : 230,690.40 = 48,613.44 : x
  2. Step 2: Convert to fraction form
    153,794.56/230,690.40 = 48,613.44/x
  3. Step 3: Cross multiply
    153,794.56x = 230,690.40 × 48,613.44
  4. Step 4: Simplify right side
    153,794.56x = 11,214,653,918.98
  5. Step 5: Solve for x
    x = 11,214,653,918.98/153,794.56
  6. Step 6: Final answer
    x = 72,919.70

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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.