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Finding the Fourth Proportional to 189,578.51, 261,498.20 and 144,156.90

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Solution

The fourth proportional to 189,578.51, 261,498.20 and 144,156.90 is: 198,845.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,578.51 : 261,498.20 = 144,156.90 : x
  2. Step 2: Convert to fraction form
    189,578.51/261,498.20 = 144,156.90/x
  3. Step 3: Cross multiply
    189,578.51x = 261,498.20 × 144,156.90
  4. Step 4: Simplify right side
    189,578.51x = 37,696,770,127.41
  5. Step 5: Solve for x
    x = 37,696,770,127.41/189,578.51
  6. Step 6: Final answer
    x = 198,845.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.