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Finding the Fourth Proportional to 118,409.14, 163,399.76 and 64,696

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Solution

The fourth proportional to 118,409.14, 163,399.76 and 64,696 is: 89,277.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,409.14 : 163,399.76 = 64,696 : x
  2. Step 2: Convert to fraction form
    118,409.14/163,399.76 = 64,696/x
  3. Step 3: Cross multiply
    118,409.14x = 163,399.76 × 64,696
  4. Step 4: Simplify right side
    118,409.14x = 10,571,310,549.48
  5. Step 5: Solve for x
    x = 10,571,310,549.48/118,409.14
  6. Step 6: Final answer
    x = 89,277.83

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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.