Home / 164,396-226,902.72-106,935.20

Finding the Fourth Proportional to 164,396, 226,902.72 and 106,935.20

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Solution

The fourth proportional to 164,396, 226,902.72 and 106,935.20 is: 147,594.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,396 : 226,902.72 = 106,935.20 : x
  2. Step 2: Convert to fraction form
    164,396/226,902.72 = 106,935.20/x
  3. Step 3: Cross multiply
    164,396x = 226,902.72 × 106,935.20
  4. Step 4: Simplify right side
    164,396x = 24,263,887,743.74
  5. Step 5: Solve for x
    x = 24,263,887,743.74/164,396
  6. Step 6: Final answer
    x = 147,594.15

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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.