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Finding the Fourth Proportional to 118,241.42, 177,373.06 and 47,146.90

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Solution

The fourth proportional to 118,241.42, 177,373.06 and 47,146.90 is: 70,724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,241.42 : 177,373.06 = 47,146.90 : x
  2. Step 2: Convert to fraction form
    118,241.42/177,373.06 = 47,146.90/x
  3. Step 3: Cross multiply
    118,241.42x = 177,373.06 × 47,146.90
  4. Step 4: Simplify right side
    118,241.42x = 8,362,589,922.51
  5. Step 5: Solve for x
    x = 8,362,589,922.51/118,241.42
  6. Step 6: Final answer
    x = 70,724.71

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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.