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Finding the Fourth Proportional to 118,803.98, 178,208.22 and 38,841.98

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Solution

The fourth proportional to 118,803.98, 178,208.22 and 38,841.98 is: 58,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,803.98 : 178,208.22 = 38,841.98 : x
  2. Step 2: Convert to fraction form
    118,803.98/178,208.22 = 38,841.98/x
  3. Step 3: Cross multiply
    118,803.98x = 178,208.22 × 38,841.98
  4. Step 4: Simplify right side
    118,803.98x = 6,921,960,117.08
  5. Step 5: Solve for x
    x = 6,921,960,117.08/118,803.98
  6. Step 6: Final answer
    x = 58,263.71

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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.