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Finding the Fourth Proportional to 105,057.86, 144,979.83 and 57,311.39

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Solution

The fourth proportional to 105,057.86, 144,979.83 and 57,311.39 is: 79,089.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,057.86 : 144,979.83 = 57,311.39 : x
  2. Step 2: Convert to fraction form
    105,057.86/144,979.83 = 57,311.39/x
  3. Step 3: Cross multiply
    105,057.86x = 144,979.83 × 57,311.39
  4. Step 4: Simplify right side
    105,057.86x = 8,308,995,941.71
  5. Step 5: Solve for x
    x = 8,308,995,941.71/105,057.86
  6. Step 6: Final answer
    x = 79,089.72

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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.