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Finding the Fourth Proportional to 137,050.41, 205,594.95 and 42,288.31

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Solution

The fourth proportional to 137,050.41, 205,594.95 and 42,288.31 is: 63,438.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,050.41 : 205,594.95 = 42,288.31 : x
  2. Step 2: Convert to fraction form
    137,050.41/205,594.95 = 42,288.31/x
  3. Step 3: Cross multiply
    137,050.41x = 205,594.95 × 42,288.31
  4. Step 4: Simplify right side
    137,050.41x = 8,694,263,395.61
  5. Step 5: Solve for x
    x = 8,694,263,395.61/137,050.41
  6. Step 6: Final answer
    x = 63,438.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.