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Finding the Fourth Proportional to 178,567.74, 267,853.23 and 45,448.16

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Solution

The fourth proportional to 178,567.74, 267,853.23 and 45,448.16 is: 68,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,567.74 : 267,853.23 = 45,448.16 : x
  2. Step 2: Convert to fraction form
    178,567.74/267,853.23 = 45,448.16/x
  3. Step 3: Cross multiply
    178,567.74x = 267,853.23 × 45,448.16
  4. Step 4: Simplify right side
    178,567.74x = 12,173,435,114.29
  5. Step 5: Solve for x
    x = 12,173,435,114.29/178,567.74
  6. Step 6: Final answer
    x = 68,172.64

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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.