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Finding the Fourth Proportional to 118,729.68, 178,094.64 and 29,984.16

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Solution

The fourth proportional to 118,729.68, 178,094.64 and 29,984.16 is: 44,976.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,729.68 : 178,094.64 = 29,984.16 : x
  2. Step 2: Convert to fraction form
    118,729.68/178,094.64 = 29,984.16/x
  3. Step 3: Cross multiply
    118,729.68x = 178,094.64 × 29,984.16
  4. Step 4: Simplify right side
    118,729.68x = 5,340,018,180.90
  5. Step 5: Solve for x
    x = 5,340,018,180.90/118,729.68
  6. Step 6: Final answer
    x = 44,976.27

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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.