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Finding the Fourth Proportional to 121,133.68, 167,069.64 and 78,706

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Solution

The fourth proportional to 121,133.68, 167,069.64 and 78,706 is: 108,552.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,133.68 : 167,069.64 = 78,706 : x
  2. Step 2: Convert to fraction form
    121,133.68/167,069.64 = 78,706/x
  3. Step 3: Cross multiply
    121,133.68x = 167,069.64 × 78,706
  4. Step 4: Simplify right side
    121,133.68x = 13,149,383,085.84
  5. Step 5: Solve for x
    x = 13,149,383,085.84/121,133.68
  6. Step 6: Final answer
    x = 108,552.66

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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.