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Finding the Fourth Proportional to 118,735.36, 178,096.64 and 29,987.84

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Solution

The fourth proportional to 118,735.36, 178,096.64 and 29,987.84 is: 44,980.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,735.36 : 178,096.64 = 29,987.84 : x
  2. Step 2: Convert to fraction form
    118,735.36/178,096.64 = 29,987.84/x
  3. Step 3: Cross multiply
    118,735.36x = 178,096.64 × 29,987.84
  4. Step 4: Simplify right side
    118,735.36x = 5,340,733,544.86
  5. Step 5: Solve for x
    x = 5,340,733,544.86/118,735.36
  6. Step 6: Final answer
    x = 44,980.14

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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.