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Finding the Fourth Proportional to 159,137.84, 238,657.95 and 52,502.12

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Solution

The fourth proportional to 159,137.84, 238,657.95 and 52,502.12 is: 78,737.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,137.84 : 238,657.95 = 52,502.12 : x
  2. Step 2: Convert to fraction form
    159,137.84/238,657.95 = 52,502.12/x
  3. Step 3: Cross multiply
    159,137.84x = 238,657.95 × 52,502.12
  4. Step 4: Simplify right side
    159,137.84x = 12,530,048,329.85
  5. Step 5: Solve for x
    x = 12,530,048,329.85/159,137.84
  6. Step 6: Final answer
    x = 78,737.08

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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.