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Finding the Fourth Proportional to 106,980.26, 147,641.06 and 59,238.05

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Solution

The fourth proportional to 106,980.26, 147,641.06 and 59,238.05 is: 81,753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,980.26 : 147,641.06 = 59,238.05 : x
  2. Step 2: Convert to fraction form
    106,980.26/147,641.06 = 59,238.05/x
  3. Step 3: Cross multiply
    106,980.26x = 147,641.06 × 59,238.05
  4. Step 4: Simplify right side
    106,980.26x = 8,745,967,904.22
  5. Step 5: Solve for x
    x = 8,745,967,904.22/106,980.26
  6. Step 6: Final answer
    x = 81,753.10

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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.