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Finding the Fourth Proportional to 207,358.90, 286,164.66 and 116,746

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Solution

The fourth proportional to 207,358.90, 286,164.66 and 116,746 is: 161,114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,358.90 : 286,164.66 = 116,746 : x
  2. Step 2: Convert to fraction form
    207,358.90/286,164.66 = 116,746/x
  3. Step 3: Cross multiply
    207,358.90x = 286,164.66 × 116,746
  4. Step 4: Simplify right side
    207,358.90x = 33,408,579,396.36
  5. Step 5: Solve for x
    x = 33,408,579,396.36/207,358.90
  6. Step 6: Final answer
    x = 161,114.76

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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.