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Finding the Fourth Proportional to 118,802.98, 178,206.72 and 38,840.98

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Solution

The fourth proportional to 118,802.98, 178,206.72 and 38,840.98 is: 58,262.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,802.98 : 178,206.72 = 38,840.98 : x
  2. Step 2: Convert to fraction form
    118,802.98/178,206.72 = 38,840.98/x
  3. Step 3: Cross multiply
    118,802.98x = 178,206.72 × 38,840.98
  4. Step 4: Simplify right side
    118,802.98x = 6,921,723,647.39
  5. Step 5: Solve for x
    x = 6,921,723,647.39/118,802.98
  6. Step 6: Final answer
    x = 58,262.21

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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.