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Finding the Fourth Proportional to 232,907.32, 349,373.94 and 66,691

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Solution

The fourth proportional to 232,907.32, 349,373.94 and 66,691 is: 100,040.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,907.32 : 349,373.94 = 66,691 : x
  2. Step 2: Convert to fraction form
    232,907.32/349,373.94 = 66,691/x
  3. Step 3: Cross multiply
    232,907.32x = 349,373.94 × 66,691
  4. Step 4: Simplify right side
    232,907.32x = 23,300,097,432.54
  5. Step 5: Solve for x
    x = 23,300,097,432.54/232,907.32
  6. Step 6: Final answer
    x = 100,040.21

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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.