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Finding the Fourth Proportional to 235,442.70, 353,156.14 and 102,322.94

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Solution

The fourth proportional to 235,442.70, 353,156.14 and 102,322.94 is: 153,480.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,442.70 : 353,156.14 = 102,322.94 : x
  2. Step 2: Convert to fraction form
    235,442.70/353,156.14 = 102,322.94/x
  3. Step 3: Cross multiply
    235,442.70x = 353,156.14 × 102,322.94
  4. Step 4: Simplify right side
    235,442.70x = 36,135,974,523.85
  5. Step 5: Solve for x
    x = 36,135,974,523.85/235,442.70
  6. Step 6: Final answer
    x = 153,480.97

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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.