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Finding the Fourth Proportional to 105,056.93, 144,972.65 and 59,728.66

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Solution

The fourth proportional to 105,056.93, 144,972.65 and 59,728.66 is: 82,422.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,056.93 : 144,972.65 = 59,728.66 : x
  2. Step 2: Convert to fraction form
    105,056.93/144,972.65 = 59,728.66/x
  3. Step 3: Cross multiply
    105,056.93x = 144,972.65 × 59,728.66
  4. Step 4: Simplify right side
    105,056.93x = 8,659,021,908.04
  5. Step 5: Solve for x
    x = 8,659,021,908.04/105,056.93
  6. Step 6: Final answer
    x = 82,422.18

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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.