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Finding the Fourth Proportional to 164,449.62, 226,934.07 and 103,228.74

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Solution

The fourth proportional to 164,449.62, 226,934.07 and 103,228.74 is: 142,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,449.62 : 226,934.07 = 103,228.74 : x
  2. Step 2: Convert to fraction form
    164,449.62/226,934.07 = 103,228.74/x
  3. Step 3: Cross multiply
    164,449.62x = 226,934.07 × 103,228.74
  4. Step 4: Simplify right side
    164,449.62x = 23,426,118,109.17
  5. Step 5: Solve for x
    x = 23,426,118,109.17/164,449.62
  6. Step 6: Final answer
    x = 142,451.64

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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.