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Finding the Fourth Proportional to 230,594.95, 345,901.69 and 72,823.46

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Solution

The fourth proportional to 230,594.95, 345,901.69 and 72,823.46 is: 109,238.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,594.95 : 345,901.69 = 72,823.46 : x
  2. Step 2: Convert to fraction form
    230,594.95/345,901.69 = 72,823.46/x
  3. Step 3: Cross multiply
    230,594.95x = 345,901.69 × 72,823.46
  4. Step 4: Simplify right side
    230,594.95x = 25,189,756,247.17
  5. Step 5: Solve for x
    x = 25,189,756,247.17/230,594.95
  6. Step 6: Final answer
    x = 109,238.11

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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.