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Finding the Fourth Proportional to 154,718.78, 231,684.30 and 101,968.34

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Solution

The fourth proportional to 154,718.78, 231,684.30 and 101,968.34 is: 152,692.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,718.78 : 231,684.30 = 101,968.34 : x
  2. Step 2: Convert to fraction form
    154,718.78/231,684.30 = 101,968.34/x
  3. Step 3: Cross multiply
    154,718.78x = 231,684.30 × 101,968.34
  4. Step 4: Simplify right side
    154,718.78x = 23,624,462,316.64
  5. Step 5: Solve for x
    x = 23,624,462,316.64/154,718.78
  6. Step 6: Final answer
    x = 152,692.93

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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.