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Finding the Fourth Proportional to 137,496, 189,715.68 and 80,913.60

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Solution

The fourth proportional to 137,496, 189,715.68 and 80,913.60 is: 111,643.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,496 : 189,715.68 = 80,913.60 : x
  2. Step 2: Convert to fraction form
    137,496/189,715.68 = 80,913.60/x
  3. Step 3: Cross multiply
    137,496x = 189,715.68 × 80,913.60
  4. Step 4: Simplify right side
    137,496x = 15,350,578,645.25
  5. Step 5: Solve for x
    x = 15,350,578,645.25/137,496
  6. Step 6: Final answer
    x = 111,643.82

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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.