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Finding the Fourth Proportional to 115,897.11, 159,927.26 and 65,596.11

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Solution

The fourth proportional to 115,897.11, 159,927.26 and 65,596.11 is: 90,516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,897.11 : 159,927.26 = 65,596.11 : x
  2. Step 2: Convert to fraction form
    115,897.11/159,927.26 = 65,596.11/x
  3. Step 3: Cross multiply
    115,897.11x = 159,927.26 × 65,596.11
  4. Step 4: Simplify right side
    115,897.11x = 10,490,605,810.98
  5. Step 5: Solve for x
    x = 10,490,605,810.98/115,897.11
  6. Step 6: Final answer
    x = 90,516.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.