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Finding the Fourth Proportional to 311,981.70, 468,048.15 and 90,365.70

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Solution

The fourth proportional to 311,981.70, 468,048.15 and 90,365.70 is: 135,570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,981.70 : 468,048.15 = 90,365.70 : x
  2. Step 2: Convert to fraction form
    311,981.70/468,048.15 = 90,365.70/x
  3. Step 3: Cross multiply
    311,981.70x = 468,048.15 × 90,365.70
  4. Step 4: Simplify right side
    311,981.70x = 42,295,498,708.46
  5. Step 5: Solve for x
    x = 42,295,498,708.46/311,981.70
  6. Step 6: Final answer
    x = 135,570.45

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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.