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Finding the Fourth Proportional to 185,930, 257,258.94 and 162,106.28

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Solution

The fourth proportional to 185,930, 257,258.94 and 162,106.28 is: 224,295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,930 : 257,258.94 = 162,106.28 : x
  2. Step 2: Convert to fraction form
    185,930/257,258.94 = 162,106.28/x
  3. Step 3: Cross multiply
    185,930x = 257,258.94 × 162,106.28
  4. Step 4: Simplify right side
    185,930x = 41,703,289,760.14
  5. Step 5: Solve for x
    x = 41,703,289,760.14/185,930
  6. Step 6: Final answer
    x = 224,295.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.