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Finding the Fourth Proportional to 115,641.22, 159,582.81 and 65,339.14

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Solution

The fourth proportional to 115,641.22, 159,582.81 and 65,339.14 is: 90,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,641.22 : 159,582.81 = 65,339.14 : x
  2. Step 2: Convert to fraction form
    115,641.22/159,582.81 = 65,339.14/x
  3. Step 3: Cross multiply
    115,641.22x = 159,582.81 × 65,339.14
  4. Step 4: Simplify right side
    115,641.22x = 10,427,003,564.18
  5. Step 5: Solve for x
    x = 10,427,003,564.18/115,641.22
  6. Step 6: Final answer
    x = 90,166.84

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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.