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Finding the Fourth Proportional to 154,461.70, 231,692.55 and 65,718.10

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Solution

The fourth proportional to 154,461.70, 231,692.55 and 65,718.10 is: 98,577.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,461.70 : 231,692.55 = 65,718.10 : x
  2. Step 2: Convert to fraction form
    154,461.70/231,692.55 = 65,718.10/x
  3. Step 3: Cross multiply
    154,461.70x = 231,692.55 × 65,718.10
  4. Step 4: Simplify right side
    154,461.70x = 15,226,394,170.16
  5. Step 5: Solve for x
    x = 15,226,394,170.16/154,461.70
  6. Step 6: Final answer
    x = 98,577.15

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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.