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Finding the Fourth Proportional to 189,574.64, 261,492.85 and 144,153.05

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Solution

The fourth proportional to 189,574.64, 261,492.85 and 144,153.05 is: 198,839.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,574.64 : 261,492.85 = 144,153.05 : x
  2. Step 2: Convert to fraction form
    189,574.64/261,492.85 = 144,153.05/x
  3. Step 3: Cross multiply
    189,574.64x = 261,492.85 × 144,153.05
  4. Step 4: Simplify right side
    189,574.64x = 37,694,990,573.23
  5. Step 5: Solve for x
    x = 37,694,990,573.23/189,574.64
  6. Step 6: Final answer
    x = 198,839.84

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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.