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Finding the Fourth Proportional to 105,599.86, 145,727.93 and 57,201.90

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Solution

The fourth proportional to 105,599.86, 145,727.93 and 57,201.90 is: 78,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,599.86 : 145,727.93 = 57,201.90 : x
  2. Step 2: Convert to fraction form
    105,599.86/145,727.93 = 57,201.90/x
  3. Step 3: Cross multiply
    105,599.86x = 145,727.93 × 57,201.90
  4. Step 4: Simplify right side
    105,599.86x = 8,335,914,479.07
  5. Step 5: Solve for x
    x = 8,335,914,479.07/105,599.86
  6. Step 6: Final answer
    x = 78,938.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.