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Finding the Fourth Proportional to 146,025.12, 201,514.80 and 78,957.12

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Solution

The fourth proportional to 146,025.12, 201,514.80 and 78,957.12 is: 108,960.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,025.12 : 201,514.80 = 78,957.12 : x
  2. Step 2: Convert to fraction form
    146,025.12/201,514.80 = 78,957.12/x
  3. Step 3: Cross multiply
    146,025.12x = 201,514.80 × 78,957.12
  4. Step 4: Simplify right side
    146,025.12x = 15,911,028,245.38
  5. Step 5: Solve for x
    x = 15,911,028,245.38/146,025.12
  6. Step 6: Final answer
    x = 108,960.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.