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Finding the Fourth Proportional to 153,815.47, 230,647.20 and 47,173.86

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Solution

The fourth proportional to 153,815.47, 230,647.20 and 47,173.86 is: 70,737.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,815.47 : 230,647.20 = 47,173.86 : x
  2. Step 2: Convert to fraction form
    153,815.47/230,647.20 = 47,173.86/x
  3. Step 3: Cross multiply
    153,815.47x = 230,647.20 × 47,173.86
  4. Step 4: Simplify right side
    153,815.47x = 10,880,517,857.27
  5. Step 5: Solve for x
    x = 10,880,517,857.27/153,815.47
  6. Step 6: Final answer
    x = 70,737.48

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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.