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Finding the Fourth Proportional to 267,751.49, 401,732.39 and 117,886.64

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Solution

The fourth proportional to 267,751.49, 401,732.39 and 117,886.64 is: 176,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,751.49 : 401,732.39 = 117,886.64 : x
  2. Step 2: Convert to fraction form
    267,751.49/401,732.39 = 117,886.64/x
  3. Step 3: Cross multiply
    267,751.49x = 401,732.39 × 117,886.64
  4. Step 4: Simplify right side
    267,751.49x = 47,358,879,038.17
  5. Step 5: Solve for x
    x = 47,358,879,038.17/267,751.49
  6. Step 6: Final answer
    x = 176,876.25

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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.