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Finding the Fourth Proportional to 164,922, 227,590.20 and 89,473.20

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Solution

The fourth proportional to 164,922, 227,590.20 and 89,473.20 is: 123,471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,922 : 227,590.20 = 89,473.20 : x
  2. Step 2: Convert to fraction form
    164,922/227,590.20 = 89,473.20/x
  3. Step 3: Cross multiply
    164,922x = 227,590.20 × 89,473.20
  4. Step 4: Simplify right side
    164,922x = 20,363,223,482.64
  5. Step 5: Solve for x
    x = 20,363,223,482.64/164,922
  6. Step 6: Final answer
    x = 123,471.84

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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.