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Finding the Fourth Proportional to 208,569.78, 312,613.70 and 96,014.00

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Solution

The fourth proportional to 208,569.78, 312,613.70 and 96,014.00 is: 143,910.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,569.78 : 312,613.70 = 96,014.00 : x
  2. Step 2: Convert to fraction form
    208,569.78/312,613.70 = 96,014.00/x
  3. Step 3: Cross multiply
    208,569.78x = 312,613.70 × 96,014.00
  4. Step 4: Simplify right side
    208,569.78x = 30,015,292,093.26
  5. Step 5: Solve for x
    x = 30,015,292,093.26/208,569.78
  6. Step 6: Final answer
    x = 143,910.07

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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.