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Finding the Fourth Proportional to 178,564.53, 267,838.14 and 66,266.64

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Solution

The fourth proportional to 178,564.53, 267,838.14 and 66,266.64 is: 99,396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,564.53 : 267,838.14 = 66,266.64 : x
  2. Step 2: Convert to fraction form
    178,564.53/267,838.14 = 66,266.64/x
  3. Step 3: Cross multiply
    178,564.53x = 267,838.14 × 66,266.64
  4. Step 4: Simplify right side
    178,564.53x = 17,748,733,601.65
  5. Step 5: Solve for x
    x = 17,748,733,601.65/178,564.53
  6. Step 6: Final answer
    x = 99,396.75

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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.