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Finding the Fourth Proportional to 197,476.48, 295,946.24 and 83,529.52

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Solution

The fourth proportional to 197,476.48, 295,946.24 and 83,529.52 is: 125,180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,476.48 : 295,946.24 = 83,529.52 : x
  2. Step 2: Convert to fraction form
    197,476.48/295,946.24 = 83,529.52/x
  3. Step 3: Cross multiply
    197,476.48x = 295,946.24 × 83,529.52
  4. Step 4: Simplify right side
    197,476.48x = 24,720,247,373.00
  5. Step 5: Solve for x
    x = 24,720,247,373.00/197,476.48
  6. Step 6: Final answer
    x = 125,180.72

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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.