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Finding the Fourth Proportional to 153,974.60, 230,969.10 and 48,801.80

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Solution

The fourth proportional to 153,974.60, 230,969.10 and 48,801.80 is: 73,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,974.60 : 230,969.10 = 48,801.80 : x
  2. Step 2: Convert to fraction form
    153,974.60/230,969.10 = 48,801.80/x
  3. Step 3: Cross multiply
    153,974.60x = 230,969.10 × 48,801.80
  4. Step 4: Simplify right side
    153,974.60x = 11,271,707,824.38
  5. Step 5: Solve for x
    x = 11,271,707,824.38/153,974.60
  6. Step 6: Final answer
    x = 73,204.98

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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.