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Finding the Fourth Proportional to 189,574.39, 261,492.51 and 144,152.80

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Solution

The fourth proportional to 189,574.39, 261,492.51 and 144,152.80 is: 198,839.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,574.39 : 261,492.51 = 144,152.80 : x
  2. Step 2: Convert to fraction form
    189,574.39/261,492.51 = 144,152.80/x
  3. Step 3: Cross multiply
    189,574.39x = 261,492.51 × 144,152.80
  4. Step 4: Simplify right side
    189,574.39x = 37,694,875,467.30
  5. Step 5: Solve for x
    x = 37,694,875,467.30/189,574.39
  6. Step 6: Final answer
    x = 198,839.49

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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.