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Finding the Fourth Proportional to 511,187.82, 767,123.01 and 178,763.82

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Solution

The fourth proportional to 511,187.82, 767,123.01 and 178,763.82 is: 268,265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,187.82 : 767,123.01 = 178,763.82 : x
  2. Step 2: Convert to fraction form
    511,187.82/767,123.01 = 178,763.82/x
  3. Step 3: Cross multiply
    511,187.82x = 767,123.01 × 178,763.82
  4. Step 4: Simplify right side
    511,187.82x = 137,133,839,677.50
  5. Step 5: Solve for x
    x = 137,133,839,677.50/511,187.82
  6. Step 6: Final answer
    x = 268,265.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.