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Finding the Fourth Proportional to 118,817.01, 178,211.64 and 47,736.78

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Solution

The fourth proportional to 118,817.01, 178,211.64 and 47,736.78 is: 71,599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,817.01 : 178,211.64 = 47,736.78 : x
  2. Step 2: Convert to fraction form
    118,817.01/178,211.64 = 47,736.78/x
  3. Step 3: Cross multiply
    118,817.01x = 178,211.64 × 47,736.78
  4. Step 4: Simplify right side
    118,817.01x = 8,507,249,362.84
  5. Step 5: Solve for x
    x = 8,507,249,362.84/118,817.01
  6. Step 6: Final answer
    x = 71,599.59

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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.