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Finding the Fourth Proportional to 163,319.76, 244,824.12 and 52,434

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Solution

The fourth proportional to 163,319.76, 244,824.12 and 52,434 is: 78,601.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,319.76 : 244,824.12 = 52,434 : x
  2. Step 2: Convert to fraction form
    163,319.76/244,824.12 = 52,434/x
  3. Step 3: Cross multiply
    163,319.76x = 244,824.12 × 52,434
  4. Step 4: Simplify right side
    163,319.76x = 12,837,107,908.08
  5. Step 5: Solve for x
    x = 12,837,107,908.08/163,319.76
  6. Step 6: Final answer
    x = 78,601.07

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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.