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Finding the Fourth Proportional to 207,258, 286,016.04 and 117,834

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Solution

The fourth proportional to 207,258, 286,016.04 and 117,834 is: 162,610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,258 : 286,016.04 = 117,834 : x
  2. Step 2: Convert to fraction form
    207,258/286,016.04 = 117,834/x
  3. Step 3: Cross multiply
    207,258x = 286,016.04 × 117,834
  4. Step 4: Simplify right side
    207,258x = 33,702,414,057.36
  5. Step 5: Solve for x
    x = 33,702,414,057.36/207,258
  6. Step 6: Final answer
    x = 162,610.92

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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.