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Finding the Fourth Proportional to 208,083.80, 312,233.70 and 97,275.80

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Solution

The fourth proportional to 208,083.80, 312,233.70 and 97,275.80 is: 145,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,083.80 : 312,233.70 = 97,275.80 : x
  2. Step 2: Convert to fraction form
    208,083.80/312,233.70 = 97,275.80/x
  3. Step 3: Cross multiply
    208,083.80x = 312,233.70 × 97,275.80
  4. Step 4: Simplify right side
    208,083.80x = 30,372,782,954.46
  5. Step 5: Solve for x
    x = 30,372,782,954.46/208,083.80
  6. Step 6: Final answer
    x = 145,964.19

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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.