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Finding the Fourth Proportional to 153,850.76, 230,784.54 and 48,661.88

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Solution

The fourth proportional to 153,850.76, 230,784.54 and 48,661.88 is: 72,995.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,850.76 : 230,784.54 = 48,661.88 : x
  2. Step 2: Convert to fraction form
    153,850.76/230,784.54 = 48,661.88/x
  3. Step 3: Cross multiply
    153,850.76x = 230,784.54 × 48,661.88
  4. Step 4: Simplify right side
    153,850.76x = 11,230,409,591.34
  5. Step 5: Solve for x
    x = 11,230,409,591.34/153,850.76
  6. Step 6: Final answer
    x = 72,995.48

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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.