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Finding the Fourth Proportional to 205,767.41, 308,706.59 and 85,784.49

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Solution

The fourth proportional to 205,767.41, 308,706.59 and 85,784.49 is: 128,699.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,767.41 : 308,706.59 = 85,784.49 : x
  2. Step 2: Convert to fraction form
    205,767.41/308,706.59 = 85,784.49/x
  3. Step 3: Cross multiply
    205,767.41x = 308,706.59 × 85,784.49
  4. Step 4: Simplify right side
    205,767.41x = 26,482,238,465.49
  5. Step 5: Solve for x
    x = 26,482,238,465.49/205,767.41
  6. Step 6: Final answer
    x = 128,699.87

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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.