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Finding the Fourth Proportional to 153,057.60, 229,601.52 and 47,878.56

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Solution

The fourth proportional to 153,057.60, 229,601.52 and 47,878.56 is: 71,822.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,057.60 : 229,601.52 = 47,878.56 : x
  2. Step 2: Convert to fraction form
    153,057.60/229,601.52 = 47,878.56/x
  3. Step 3: Cross multiply
    153,057.60x = 229,601.52 × 47,878.56
  4. Step 4: Simplify right side
    153,057.60x = 10,992,990,151.41
  5. Step 5: Solve for x
    x = 10,992,990,151.41/153,057.60
  6. Step 6: Final answer
    x = 71,822.57

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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.