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Finding the Fourth Proportional to 164,398, 226,905.48 and 106,937.20

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Solution

The fourth proportional to 164,398, 226,905.48 and 106,937.20 is: 147,596.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,398 : 226,905.48 = 106,937.20 : x
  2. Step 2: Convert to fraction form
    164,398/226,905.48 = 106,937.20/x
  3. Step 3: Cross multiply
    164,398x = 226,905.48 × 106,937.20
  4. Step 4: Simplify right side
    164,398x = 24,264,636,695.86
  5. Step 5: Solve for x
    x = 24,264,636,695.86/164,398
  6. Step 6: Final answer
    x = 147,596.91

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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.