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Finding the Fourth Proportional to 194,106, 267,878.76 and 117,677.52

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Solution

The fourth proportional to 194,106, 267,878.76 and 117,677.52 is: 162,402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,106 : 267,878.76 = 117,677.52 : x
  2. Step 2: Convert to fraction form
    194,106/267,878.76 = 117,677.52/x
  3. Step 3: Cross multiply
    194,106x = 267,878.76 × 117,677.52
  4. Step 4: Simplify right side
    194,106x = 31,523,308,137.48
  5. Step 5: Solve for x
    x = 31,523,308,137.48/194,106
  6. Step 6: Final answer
    x = 162,402.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.