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Finding the Fourth Proportional to 230,077.44, 344,805.12 and 119,347.20

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Solution

The fourth proportional to 230,077.44, 344,805.12 and 119,347.20 is: 178,859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,077.44 : 344,805.12 = 119,347.20 : x
  2. Step 2: Convert to fraction form
    230,077.44/344,805.12 = 119,347.20/x
  3. Step 3: Cross multiply
    230,077.44x = 344,805.12 × 119,347.20
  4. Step 4: Simplify right side
    230,077.44x = 41,151,525,617.66
  5. Step 5: Solve for x
    x = 41,151,525,617.66/230,077.44
  6. Step 6: Final answer
    x = 178,859.46

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1.5x scale

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.