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Finding the Fourth Proportional to 208,411.25, 312,732.70 and 101,796.41

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Solution

The fourth proportional to 208,411.25, 312,732.70 and 101,796.41 is: 152,751.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,411.25 : 312,732.70 = 101,796.41 : x
  2. Step 2: Convert to fraction form
    208,411.25/312,732.70 = 101,796.41/x
  3. Step 3: Cross multiply
    208,411.25x = 312,732.70 × 101,796.41
  4. Step 4: Simplify right side
    208,411.25x = 31,835,066,676.95
  5. Step 5: Solve for x
    x = 31,835,066,676.95/208,411.25
  6. Step 6: Final answer
    x = 152,751.19

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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.