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Finding the Fourth Proportional to 205,392.81, 308,128.10 and 94,584.81

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Solution

The fourth proportional to 205,392.81, 308,128.10 and 94,584.81 is: 141,895.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,392.81 : 308,128.10 = 94,584.81 : x
  2. Step 2: Convert to fraction form
    205,392.81/308,128.10 = 94,584.81/x
  3. Step 3: Cross multiply
    205,392.81x = 308,128.10 × 94,584.81
  4. Step 4: Simplify right side
    205,392.81x = 29,144,237,794.16
  5. Step 5: Solve for x
    x = 29,144,237,794.16/205,392.81
  6. Step 6: Final answer
    x = 141,895.12

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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.