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Finding the Fourth Proportional to 230,728.32, 318,405.15 and 127,362.58

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Solution

The fourth proportional to 230,728.32, 318,405.15 and 127,362.58 is: 175,760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,728.32 : 318,405.15 = 127,362.58 : x
  2. Step 2: Convert to fraction form
    230,728.32/318,405.15 = 127,362.58/x
  3. Step 3: Cross multiply
    230,728.32x = 318,405.15 × 127,362.58
  4. Step 4: Simplify right side
    230,728.32x = 40,552,901,184.45
  5. Step 5: Solve for x
    x = 40,552,901,184.45/230,728.32
  6. Step 6: Final answer
    x = 175,760.39

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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.