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Finding the Fourth Proportional to 176,469.60, 264,704.40 and 97,543.20

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Solution

The fourth proportional to 176,469.60, 264,704.40 and 97,543.20 is: 146,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,469.60 : 264,704.40 = 97,543.20 : x
  2. Step 2: Convert to fraction form
    176,469.60/264,704.40 = 97,543.20/x
  3. Step 3: Cross multiply
    176,469.60x = 264,704.40 × 97,543.20
  4. Step 4: Simplify right side
    176,469.60x = 25,820,114,230.08
  5. Step 5: Solve for x
    x = 25,820,114,230.08/176,469.60
  6. Step 6: Final answer
    x = 146,314.80

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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.