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Finding the Fourth Proportional to 232,913.20, 349,369.80 and 66,701.20

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Solution

The fourth proportional to 232,913.20, 349,369.80 and 66,701.20 is: 100,051.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,913.20 : 349,369.80 = 66,701.20 : x
  2. Step 2: Convert to fraction form
    232,913.20/349,369.80 = 66,701.20/x
  3. Step 3: Cross multiply
    232,913.20x = 349,369.80 × 66,701.20
  4. Step 4: Simplify right side
    232,913.20x = 23,303,384,903.76
  5. Step 5: Solve for x
    x = 23,303,384,903.76/232,913.20
  6. Step 6: Final answer
    x = 100,051.80

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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.