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Finding the Fourth Proportional to 198,205.65, 297,345.60 and 65,124.27

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Solution

The fourth proportional to 198,205.65, 297,345.60 and 65,124.27 is: 97,698.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,205.65 : 297,345.60 = 65,124.27 : x
  2. Step 2: Convert to fraction form
    198,205.65/297,345.60 = 65,124.27/x
  3. Step 3: Cross multiply
    198,205.65x = 297,345.60 × 65,124.27
  4. Step 4: Simplify right side
    198,205.65x = 19,364,415,137.71
  5. Step 5: Solve for x
    x = 19,364,415,137.71/198,205.65
  6. Step 6: Final answer
    x = 97,698.60

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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.