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Finding the Fourth Proportional to 136,905, 188,932.98 and 76,478.22

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Solution

The fourth proportional to 136,905, 188,932.98 and 76,478.22 is: 105,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,905 : 188,932.98 = 76,478.22 : x
  2. Step 2: Convert to fraction form
    136,905/188,932.98 = 76,478.22/x
  3. Step 3: Cross multiply
    136,905x = 188,932.98 × 76,478.22
  4. Step 4: Simplify right side
    136,905x = 14,449,258,009.70
  5. Step 5: Solve for x
    x = 14,449,258,009.70/136,905
  6. Step 6: Final answer
    x = 105,542.22

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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.