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Finding the Fourth Proportional to 109,638.86, 151,275.95 and 64,314.50

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Solution

The fourth proportional to 109,638.86, 151,275.95 and 64,314.50 is: 88,738.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,638.86 : 151,275.95 = 64,314.50 : x
  2. Step 2: Convert to fraction form
    109,638.86/151,275.95 = 64,314.50/x
  3. Step 3: Cross multiply
    109,638.86x = 151,275.95 × 64,314.50
  4. Step 4: Simplify right side
    109,638.86x = 9,729,236,008.32
  5. Step 5: Solve for x
    x = 9,729,236,008.32/109,638.86
  6. Step 6: Final answer
    x = 88,738.94

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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.