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Finding the Fourth Proportional to 164,671.84, 227,111.88 and 100,964.80

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Solution

The fourth proportional to 164,671.84, 227,111.88 and 100,964.80 is: 139,248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,671.84 : 227,111.88 = 100,964.80 : x
  2. Step 2: Convert to fraction form
    164,671.84/227,111.88 = 100,964.80/x
  3. Step 3: Cross multiply
    164,671.84x = 227,111.88 × 100,964.80
  4. Step 4: Simplify right side
    164,671.84x = 22,930,305,541.82
  5. Step 5: Solve for x
    x = 22,930,305,541.82/164,671.84
  6. Step 6: Final answer
    x = 139,248.49

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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.