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Finding the Fourth Proportional to 257,694.66, 386,568.51 and 89,214.66

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Solution

The fourth proportional to 257,694.66, 386,568.51 and 89,214.66 is: 133,831.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,694.66 : 386,568.51 = 89,214.66 : x
  2. Step 2: Convert to fraction form
    257,694.66/386,568.51 = 89,214.66/x
  3. Step 3: Cross multiply
    257,694.66x = 386,568.51 × 89,214.66
  4. Step 4: Simplify right side
    257,694.66x = 34,487,578,186.36
  5. Step 5: Solve for x
    x = 34,487,578,186.36/257,694.66
  6. Step 6: Final answer
    x = 133,831.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.