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Finding the Fourth Proportional to 254,716.16, 382,045.12 and 67,742.08

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Solution

The fourth proportional to 254,716.16, 382,045.12 and 67,742.08 is: 101,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,716.16 : 382,045.12 = 67,742.08 : x
  2. Step 2: Convert to fraction form
    254,716.16/382,045.12 = 67,742.08/x
  3. Step 3: Cross multiply
    254,716.16x = 382,045.12 × 67,742.08
  4. Step 4: Simplify right side
    254,716.16x = 25,880,531,082.65
  5. Step 5: Solve for x
    x = 25,880,531,082.65/254,716.16
  6. Step 6: Final answer
    x = 101,605.38

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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.