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Finding the Fourth Proportional to 232,923.20, 349,384.80 and 66,711.20

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Solution

The fourth proportional to 232,923.20, 349,384.80 and 66,711.20 is: 100,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,923.20 : 349,384.80 = 66,711.20 : x
  2. Step 2: Convert to fraction form
    232,923.20/349,384.80 = 66,711.20/x
  3. Step 3: Cross multiply
    232,923.20x = 349,384.80 × 66,711.20
  4. Step 4: Simplify right side
    232,923.20x = 23,307,879,269.76
  5. Step 5: Solve for x
    x = 23,307,879,269.76/232,923.20
  6. Step 6: Final answer
    x = 100,066.80

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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.