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Finding the Fourth Proportional to 77,111.68, 105,641.36 and 74,233.48

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Solution

The fourth proportional to 77,111.68, 105,641.36 and 74,233.48 is: 101,698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,111.68 : 105,641.36 = 74,233.48 : x
  2. Step 2: Convert to fraction form
    77,111.68/105,641.36 = 74,233.48/x
  3. Step 3: Cross multiply
    77,111.68x = 105,641.36 × 74,233.48
  4. Step 4: Simplify right side
    77,111.68x = 7,842,125,784.73
  5. Step 5: Solve for x
    x = 7,842,125,784.73/77,111.68
  6. Step 6: Final answer
    x = 101,698.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.