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Finding the Fourth Proportional to 207,258.20, 286,016.30 and 117,834.20

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Solution

The fourth proportional to 207,258.20, 286,016.30 and 117,834.20 is: 162,611.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,258.20 : 286,016.30 = 117,834.20 : x
  2. Step 2: Convert to fraction form
    207,258.20/286,016.30 = 117,834.20/x
  3. Step 3: Cross multiply
    207,258.20x = 286,016.30 × 117,834.20
  4. Step 4: Simplify right side
    207,258.20x = 33,702,501,897.46
  5. Step 5: Solve for x
    x = 33,702,501,897.46/207,258.20
  6. Step 6: Final answer
    x = 162,611.19

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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.