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Finding the Fourth Proportional to 105,254.14, 145,249.02 and 57,506.47

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Solution

The fourth proportional to 105,254.14, 145,249.02 and 57,506.47 is: 79,357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,254.14 : 145,249.02 = 57,506.47 : x
  2. Step 2: Convert to fraction form
    105,254.14/145,249.02 = 57,506.47/x
  3. Step 3: Cross multiply
    105,254.14x = 145,249.02 × 57,506.47
  4. Step 4: Simplify right side
    105,254.14x = 8,352,757,684.91
  5. Step 5: Solve for x
    x = 8,352,757,684.91/105,254.14
  6. Step 6: Final answer
    x = 79,357.99

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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.