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Finding the Fourth Proportional to 312,155.16, 468,233.95 and 75,497.46

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Solution

The fourth proportional to 312,155.16, 468,233.95 and 75,497.46 is: 113,246.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,155.16 : 468,233.95 = 75,497.46 : x
  2. Step 2: Convert to fraction form
    312,155.16/468,233.95 = 75,497.46/x
  3. Step 3: Cross multiply
    312,155.16x = 468,233.95 × 75,497.46
  4. Step 4: Simplify right side
    312,155.16x = 35,350,473,910.77
  5. Step 5: Solve for x
    x = 35,350,473,910.77/312,155.16
  6. Step 6: Final answer
    x = 113,246.48

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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.