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Finding the Fourth Proportional to 118,189.92, 163,102.02 and 64,474.81

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Solution

The fourth proportional to 118,189.92, 163,102.02 and 64,474.81 is: 88,975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,189.92 : 163,102.02 = 64,474.81 : x
  2. Step 2: Convert to fraction form
    118,189.92/163,102.02 = 64,474.81/x
  3. Step 3: Cross multiply
    118,189.92x = 163,102.02 × 64,474.81
  4. Step 4: Simplify right side
    118,189.92x = 10,515,971,649.97
  5. Step 5: Solve for x
    x = 10,515,971,649.97/118,189.92
  6. Step 6: Final answer
    x = 88,975.20

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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.