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Finding the Fourth Proportional to 118,684.13, 163,784.07 and 64,969.17

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Solution

The fourth proportional to 118,684.13, 163,784.07 and 64,969.17 is: 89,657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,684.13 : 163,784.07 = 64,969.17 : x
  2. Step 2: Convert to fraction form
    118,684.13/163,784.07 = 64,969.17/x
  3. Step 3: Cross multiply
    118,684.13x = 163,784.07 × 64,969.17
  4. Step 4: Simplify right side
    118,684.13x = 10,640,915,087.12
  5. Step 5: Solve for x
    x = 10,640,915,087.12/118,684.13
  6. Step 6: Final answer
    x = 89,657.44

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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.