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Finding the Fourth Proportional to 109,638.16, 151,275 and 64,313.80

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Solution

The fourth proportional to 109,638.16, 151,275 and 64,313.80 is: 88,737.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,638.16 : 151,275 = 64,313.80 : x
  2. Step 2: Convert to fraction form
    109,638.16/151,275 = 64,313.80/x
  3. Step 3: Cross multiply
    109,638.16x = 151,275 × 64,313.80
  4. Step 4: Simplify right side
    109,638.16x = 9,729,070,095
  5. Step 5: Solve for x
    x = 9,729,070,095/109,638.16
  6. Step 6: Final answer
    x = 88,737.99

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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.