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Finding the Fourth Proportional to 232,706, 349,059 and 74,950.40

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Solution

The fourth proportional to 232,706, 349,059 and 74,950.40 is: 112,425.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,706 : 349,059 = 74,950.40 : x
  2. Step 2: Convert to fraction form
    232,706/349,059 = 74,950.40/x
  3. Step 3: Cross multiply
    232,706x = 349,059 × 74,950.40
  4. Step 4: Simplify right side
    232,706x = 26,162,111,673.60
  5. Step 5: Solve for x
    x = 26,162,111,673.60/232,706
  6. Step 6: Final answer
    x = 112,425.60

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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.