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Finding the Fourth Proportional to 190,896.59, 286,014.12 and 115,859.51

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Solution

The fourth proportional to 190,896.59, 286,014.12 and 115,859.51 is: 173,588.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,896.59 : 286,014.12 = 115,859.51 : x
  2. Step 2: Convert to fraction form
    190,896.59/286,014.12 = 115,859.51/x
  3. Step 3: Cross multiply
    190,896.59x = 286,014.12 × 115,859.51
  4. Step 4: Simplify right side
    190,896.59x = 33,137,454,366.21
  5. Step 5: Solve for x
    x = 33,137,454,366.21/190,896.59
  6. Step 6: Final answer
    x = 173,588.51

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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.