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Finding the Fourth Proportional to 205,364.67, 283,384.76 and 114,712.71

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Solution

The fourth proportional to 205,364.67, 283,384.76 and 114,712.71 is: 158,293.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,364.67 : 283,384.76 = 114,712.71 : x
  2. Step 2: Convert to fraction form
    205,364.67/283,384.76 = 114,712.71/x
  3. Step 3: Cross multiply
    205,364.67x = 283,384.76 × 114,712.71
  4. Step 4: Simplify right side
    205,364.67x = 32,507,833,218.74
  5. Step 5: Solve for x
    x = 32,507,833,218.74/205,364.67
  6. Step 6: Final answer
    x = 158,293.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.