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Finding the Fourth Proportional to 105,538.86, 145,641.03 and 57,794.22

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Solution

The fourth proportional to 105,538.86, 145,641.03 and 57,794.22 is: 79,754.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,538.86 : 145,641.03 = 57,794.22 : x
  2. Step 2: Convert to fraction form
    105,538.86/145,641.03 = 57,794.22/x
  3. Step 3: Cross multiply
    105,538.86x = 145,641.03 × 57,794.22
  4. Step 4: Simplify right side
    105,538.86x = 8,417,209,728.85
  5. Step 5: Solve for x
    x = 8,417,209,728.85/105,538.86
  6. Step 6: Final answer
    x = 79,754.60

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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.