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Finding the Fourth Proportional to 131,825.66, 197,697.54 and 47,574.89

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Solution

The fourth proportional to 131,825.66, 197,697.54 and 47,574.89 is: 71,347.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,825.66 : 197,697.54 = 47,574.89 : x
  2. Step 2: Convert to fraction form
    131,825.66/197,697.54 = 47,574.89/x
  3. Step 3: Cross multiply
    131,825.66x = 197,697.54 × 47,574.89
  4. Step 4: Simplify right side
    131,825.66x = 9,405,438,718.77
  5. Step 5: Solve for x
    x = 9,405,438,718.77/131,825.66
  6. Step 6: Final answer
    x = 71,347.56

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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.