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Finding the Fourth Proportional to 121,106.56, 167,032.38 and 78,678.76

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Solution

The fourth proportional to 121,106.56, 167,032.38 and 78,678.76 is: 108,515.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,106.56 : 167,032.38 = 78,678.76 : x
  2. Step 2: Convert to fraction form
    121,106.56/167,032.38 = 78,678.76/x
  3. Step 3: Cross multiply
    121,106.56x = 167,032.38 × 78,678.76
  4. Step 4: Simplify right side
    121,106.56x = 13,141,900,538.25
  5. Step 5: Solve for x
    x = 13,141,900,538.25/121,106.56
  6. Step 6: Final answer
    x = 108,515.18

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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.