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Finding the Fourth Proportional to 132,698.52, 199,047.78 and 39,196.98

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Solution

The fourth proportional to 132,698.52, 199,047.78 and 39,196.98 is: 58,795.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,698.52 : 199,047.78 = 39,196.98 : x
  2. Step 2: Convert to fraction form
    132,698.52/199,047.78 = 39,196.98/x
  3. Step 3: Cross multiply
    132,698.52x = 199,047.78 × 39,196.98
  4. Step 4: Simplify right side
    132,698.52x = 7,802,071,851.70
  5. Step 5: Solve for x
    x = 7,802,071,851.70/132,698.52
  6. Step 6: Final answer
    x = 58,795.47

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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.