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Finding the Fourth Proportional to 205,041.80, 307,562.70 and 152,553.80

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Solution

The fourth proportional to 205,041.80, 307,562.70 and 152,553.80 is: 228,830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,041.80 : 307,562.70 = 152,553.80 : x
  2. Step 2: Convert to fraction form
    205,041.80/307,562.70 = 152,553.80/x
  3. Step 3: Cross multiply
    205,041.80x = 307,562.70 × 152,553.80
  4. Step 4: Simplify right side
    205,041.80x = 46,919,858,623.26
  5. Step 5: Solve for x
    x = 46,919,858,623.26/205,041.80
  6. Step 6: Final answer
    x = 228,830.70

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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.