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Finding the Fourth Proportional to 197,141.52, 295,717.54 and 56,900

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Solution

The fourth proportional to 197,141.52, 295,717.54 and 56,900 is: 85,351.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,141.52 : 295,717.54 = 56,900 : x
  2. Step 2: Convert to fraction form
    197,141.52/295,717.54 = 56,900/x
  3. Step 3: Cross multiply
    197,141.52x = 295,717.54 × 56,900
  4. Step 4: Simplify right side
    197,141.52x = 16,826,328,026.00
  5. Step 5: Solve for x
    x = 16,826,328,026.00/197,141.52
  6. Step 6: Final answer
    x = 85,351.52

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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.