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Finding the Fourth Proportional to 164,710.16, 227,300 and 89,258.68

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Solution

The fourth proportional to 164,710.16, 227,300 and 89,258.68 is: 123,176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,710.16 : 227,300 = 89,258.68 : x
  2. Step 2: Convert to fraction form
    164,710.16/227,300 = 89,258.68/x
  3. Step 3: Cross multiply
    164,710.16x = 227,300 × 89,258.68
  4. Step 4: Simplify right side
    164,710.16x = 20,288,497,964
  5. Step 5: Solve for x
    x = 20,288,497,964/164,710.16
  6. Step 6: Final answer
    x = 123,176.97

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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.