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Finding the Fourth Proportional to 197,263.66, 295,897.65 and 57,023.50

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Solution

The fourth proportional to 197,263.66, 295,897.65 and 57,023.50 is: 85,535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,263.66 : 295,897.65 = 57,023.50 : x
  2. Step 2: Convert to fraction form
    197,263.66/295,897.65 = 57,023.50/x
  3. Step 3: Cross multiply
    197,263.66x = 295,897.65 × 57,023.50
  4. Step 4: Simplify right side
    197,263.66x = 16,873,119,644.78
  5. Step 5: Solve for x
    x = 16,873,119,644.78/197,263.66
  6. Step 6: Final answer
    x = 85,535.87

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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.