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Finding the Fourth Proportional to 164,103.84, 226,463.52 and 88,652.34

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Solution

The fourth proportional to 164,103.84, 226,463.52 and 88,652.34 is: 122,340.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,103.84 : 226,463.52 = 88,652.34 : x
  2. Step 2: Convert to fraction form
    164,103.84/226,463.52 = 88,652.34/x
  3. Step 3: Cross multiply
    164,103.84x = 226,463.52 × 88,652.34
  4. Step 4: Simplify right side
    164,103.84x = 20,076,520,972.64
  5. Step 5: Solve for x
    x = 20,076,520,972.64/164,103.84
  6. Step 6: Final answer
    x = 122,340.35

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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.