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Finding the Fourth Proportional to 208,473.49, 312,707.70 and 50,702.11

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Solution

The fourth proportional to 208,473.49, 312,707.70 and 50,702.11 is: 76,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,473.49 : 312,707.70 = 50,702.11 : x
  2. Step 2: Convert to fraction form
    208,473.49/312,707.70 = 50,702.11/x
  3. Step 3: Cross multiply
    208,473.49x = 312,707.70 × 50,702.11
  4. Step 4: Simplify right side
    208,473.49x = 15,854,940,203.25
  5. Step 5: Solve for x
    x = 15,854,940,203.25/208,473.49
  6. Step 6: Final answer
    x = 76,052.55

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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.