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Finding the Fourth Proportional to 118,196, 177,319.92 and 39,366.80

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Solution

The fourth proportional to 118,196, 177,319.92 and 39,366.80 is: 59,058.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,196 : 177,319.92 = 39,366.80 : x
  2. Step 2: Convert to fraction form
    118,196/177,319.92 = 39,366.80/x
  3. Step 3: Cross multiply
    118,196x = 177,319.92 × 39,366.80
  4. Step 4: Simplify right side
    118,196x = 6,980,517,826.66
  5. Step 5: Solve for x
    x = 6,980,517,826.66/118,196
  6. Step 6: Final answer
    x = 59,058.83

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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.