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Finding the Fourth Proportional to 105,103.62, 145,040.22 and 57,357

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Solution

The fourth proportional to 105,103.62, 145,040.22 and 57,357 is: 79,151.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,103.62 : 145,040.22 = 57,357 : x
  2. Step 2: Convert to fraction form
    105,103.62/145,040.22 = 57,357/x
  3. Step 3: Cross multiply
    105,103.62x = 145,040.22 × 57,357
  4. Step 4: Simplify right side
    105,103.62x = 8,319,071,898.54
  5. Step 5: Solve for x
    x = 8,319,071,898.54/105,103.62
  6. Step 6: Final answer
    x = 79,151.15

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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.