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Finding the Fourth Proportional to 164,304.16, 226,797.84 and 97,236

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Solution

The fourth proportional to 164,304.16, 226,797.84 and 97,236 is: 134,220.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,304.16 : 226,797.84 = 97,236 : x
  2. Step 2: Convert to fraction form
    164,304.16/226,797.84 = 97,236/x
  3. Step 3: Cross multiply
    164,304.16x = 226,797.84 × 97,236
  4. Step 4: Simplify right side
    164,304.16x = 22,052,914,770.24
  5. Step 5: Solve for x
    x = 22,052,914,770.24/164,304.16
  6. Step 6: Final answer
    x = 134,220.06

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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.