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Finding the Fourth Proportional to 267,295.40, 401,051.10 and 117,564.20

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Solution

The fourth proportional to 267,295.40, 401,051.10 and 117,564.20 is: 176,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,295.40 : 401,051.10 = 117,564.20 : x
  2. Step 2: Convert to fraction form
    267,295.40/401,051.10 = 117,564.20/x
  3. Step 3: Cross multiply
    267,295.40x = 401,051.10 × 117,564.20
  4. Step 4: Simplify right side
    267,295.40x = 47,149,251,730.62
  5. Step 5: Solve for x
    x = 47,149,251,730.62/267,295.40
  6. Step 6: Final answer
    x = 176,393.80

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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.