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Finding the Fourth Proportional to 205,019.80, 307,529.70 and 94,211.80

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Solution

The fourth proportional to 205,019.80, 307,529.70 and 94,211.80 is: 141,317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,019.80 : 307,529.70 = 94,211.80 : x
  2. Step 2: Convert to fraction form
    205,019.80/307,529.70 = 94,211.80/x
  3. Step 3: Cross multiply
    205,019.80x = 307,529.70 × 94,211.80
  4. Step 4: Simplify right side
    205,019.80x = 28,972,926,590.46
  5. Step 5: Solve for x
    x = 28,972,926,590.46/205,019.80
  6. Step 6: Final answer
    x = 141,317.70

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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.