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Finding the Fourth Proportional to 118,006, 177,043.60 and 34,902.16

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Solution

The fourth proportional to 118,006, 177,043.60 and 34,902.16 is: 52,363.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,006 : 177,043.60 = 34,902.16 : x
  2. Step 2: Convert to fraction form
    118,006/177,043.60 = 34,902.16/x
  3. Step 3: Cross multiply
    118,006x = 177,043.60 × 34,902.16
  4. Step 4: Simplify right side
    118,006x = 6,179,204,054.18
  5. Step 5: Solve for x
    x = 6,179,204,054.18/118,006
  6. Step 6: Final answer
    x = 52,363.47

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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.