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Finding the Fourth Proportional to 154,638.66, 231,564.22 and 101,888.22

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Solution

The fourth proportional to 154,638.66, 231,564.22 and 101,888.22 is: 152,572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,638.66 : 231,564.22 = 101,888.22 : x
  2. Step 2: Convert to fraction form
    154,638.66/231,564.22 = 101,888.22/x
  3. Step 3: Cross multiply
    154,638.66x = 231,564.22 × 101,888.22
  4. Step 4: Simplify right side
    154,638.66x = 23,593,666,191.49
  5. Step 5: Solve for x
    x = 23,593,666,191.49/154,638.66
  6. Step 6: Final answer
    x = 152,572.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.