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Finding the Fourth Proportional to 262,353, 393,595.92 and 75,364.50

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Solution

The fourth proportional to 262,353, 393,595.92 and 75,364.50 is: 113,065.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,353 : 393,595.92 = 75,364.50 : x
  2. Step 2: Convert to fraction form
    262,353/393,595.92 = 75,364.50/x
  3. Step 3: Cross multiply
    262,353x = 393,595.92 × 75,364.50
  4. Step 4: Simplify right side
    262,353x = 29,663,159,712.84
  5. Step 5: Solve for x
    x = 29,663,159,712.84/262,353
  6. Step 6: Final answer
    x = 113,065.83

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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.