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Finding the Fourth Proportional to 116,640.24, 160,934.88 and 65,643

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Solution

The fourth proportional to 116,640.24, 160,934.88 and 65,643 is: 90,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,640.24 : 160,934.88 = 65,643 : x
  2. Step 2: Convert to fraction form
    116,640.24/160,934.88 = 65,643/x
  3. Step 3: Cross multiply
    116,640.24x = 160,934.88 × 65,643
  4. Step 4: Simplify right side
    116,640.24x = 10,564,248,327.84
  5. Step 5: Solve for x
    x = 10,564,248,327.84/116,640.24
  6. Step 6: Final answer
    x = 90,571.22

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