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Finding the Fourth Proportional to 205,006.80, 307,567.80 and 99,829.20

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Solution

The fourth proportional to 205,006.80, 307,567.80 and 99,829.20 is: 149,771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,006.80 : 307,567.80 = 99,829.20 : x
  2. Step 2: Convert to fraction form
    205,006.80/307,567.80 = 99,829.20/x
  3. Step 3: Cross multiply
    205,006.80x = 307,567.80 × 99,829.20
  4. Step 4: Simplify right side
    205,006.80x = 30,704,247,419.76
  5. Step 5: Solve for x
    x = 30,704,247,419.76/205,006.80
  6. Step 6: Final answer
    x = 149,771.85

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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.