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Finding the Fourth Proportional to 118,186.96, 177,242.16 and 39,280

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Solution

The fourth proportional to 118,186.96, 177,242.16 and 39,280 is: 58,907.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,186.96 : 177,242.16 = 39,280 : x
  2. Step 2: Convert to fraction form
    118,186.96/177,242.16 = 39,280/x
  3. Step 3: Cross multiply
    118,186.96x = 177,242.16 × 39,280
  4. Step 4: Simplify right side
    118,186.96x = 6,962,072,044.80
  5. Step 5: Solve for x
    x = 6,962,072,044.80/118,186.96
  6. Step 6: Final answer
    x = 58,907.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.