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Finding the Fourth Proportional to 189,574.14, 261,492.16 and 144,152.55

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Solution

The fourth proportional to 189,574.14, 261,492.16 and 144,152.55 is: 198,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,574.14 : 261,492.16 = 144,152.55 : x
  2. Step 2: Convert to fraction form
    189,574.14/261,492.16 = 144,152.55/x
  3. Step 3: Cross multiply
    189,574.14x = 261,492.16 × 144,152.55
  4. Step 4: Simplify right side
    189,574.14x = 37,694,760,361.55
  5. Step 5: Solve for x
    x = 37,694,760,361.55/189,574.14
  6. Step 6: Final answer
    x = 198,839.15

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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.