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Finding the Fourth Proportional to 164,484, 226,987.92 and 89,033.04

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Solution

The fourth proportional to 164,484, 226,987.92 and 89,033.04 is: 122,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,484 : 226,987.92 = 89,033.04 : x
  2. Step 2: Convert to fraction form
    164,484/226,987.92 = 89,033.04/x
  3. Step 3: Cross multiply
    164,484x = 226,987.92 × 89,033.04
  4. Step 4: Simplify right side
    164,484x = 20,209,424,560.88
  5. Step 5: Solve for x
    x = 20,209,424,560.88/164,484
  6. Step 6: Final answer
    x = 122,865.60

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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.