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Finding the Fourth Proportional to 109,638.66, 151,275.69 and 64,314.30

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Solution

The fourth proportional to 109,638.66, 151,275.69 and 64,314.30 is: 88,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,638.66 : 151,275.69 = 64,314.30 : x
  2. Step 2: Convert to fraction form
    109,638.66/151,275.69 = 64,314.30/x
  3. Step 3: Cross multiply
    109,638.66x = 151,275.69 × 64,314.30
  4. Step 4: Simplify right side
    109,638.66x = 9,729,190,109.37
  5. Step 5: Solve for x
    x = 9,729,190,109.37/109,638.66
  6. Step 6: Final answer
    x = 88,738.68

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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.