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Finding the Fourth Proportional to 154,047.80, 230,559.70 and 111,807.80

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Solution

The fourth proportional to 154,047.80, 230,559.70 and 111,807.80 is: 167,340.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,047.80 : 230,559.70 = 111,807.80 : x
  2. Step 2: Convert to fraction form
    154,047.80/230,559.70 = 111,807.80/x
  3. Step 3: Cross multiply
    154,047.80x = 230,559.70 × 111,807.80
  4. Step 4: Simplify right side
    154,047.80x = 25,778,372,825.66
  5. Step 5: Solve for x
    x = 25,778,372,825.66/154,047.80
  6. Step 6: Final answer
    x = 167,340.09

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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.