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Finding the Fourth Proportional to 268,152.92, 402,398.81 and 149,901.83

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Solution

The fourth proportional to 268,152.92, 402,398.81 and 149,901.83 is: 224,947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,152.92 : 402,398.81 = 149,901.83 : x
  2. Step 2: Convert to fraction form
    268,152.92/402,398.81 = 149,901.83/x
  3. Step 3: Cross multiply
    268,152.92x = 402,398.81 × 149,901.83
  4. Step 4: Simplify right side
    268,152.92x = 60,320,317,259.31
  5. Step 5: Solve for x
    x = 60,320,317,259.31/268,152.92
  6. Step 6: Final answer
    x = 224,947.46

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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.