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Finding the Fourth Proportional to 153,640.73, 230,461.20 and 48,467.90

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Solution

The fourth proportional to 153,640.73, 230,461.20 and 48,467.90 is: 72,701.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,640.73 : 230,461.20 = 48,467.90 : x
  2. Step 2: Convert to fraction form
    153,640.73/230,461.20 = 48,467.90/x
  3. Step 3: Cross multiply
    153,640.73x = 230,461.20 × 48,467.90
  4. Step 4: Simplify right side
    153,640.73x = 11,169,970,971.63
  5. Step 5: Solve for x
    x = 11,169,970,971.63/153,640.73
  6. Step 6: Final answer
    x = 72,701.89

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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.