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Finding the Fourth Proportional to 197,056.64, 295,702.72 and 72,410.24

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Solution

The fourth proportional to 197,056.64, 295,702.72 and 72,410.24 is: 108,658.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,056.64 : 295,702.72 = 72,410.24 : x
  2. Step 2: Convert to fraction form
    197,056.64/295,702.72 = 72,410.24/x
  3. Step 3: Cross multiply
    197,056.64x = 295,702.72 × 72,410.24
  4. Step 4: Simplify right side
    197,056.64x = 21,411,904,923.85
  5. Step 5: Solve for x
    x = 21,411,904,923.85/197,056.64
  6. Step 6: Final answer
    x = 108,658.63

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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.