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Finding the Fourth Proportional to 137,154.28, 189,256.74 and 76,728.04

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Solution

The fourth proportional to 137,154.28, 189,256.74 and 76,728.04 is: 105,875.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,154.28 : 189,256.74 = 76,728.04 : x
  2. Step 2: Convert to fraction form
    137,154.28/189,256.74 = 76,728.04/x
  3. Step 3: Cross multiply
    137,154.28x = 189,256.74 × 76,728.04
  4. Step 4: Simplify right side
    137,154.28x = 14,521,298,716.99
  5. Step 5: Solve for x
    x = 14,521,298,716.99/137,154.28
  6. Step 6: Final answer
    x = 105,875.65

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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.