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Finding the Fourth Proportional to 205,443.73, 283,511.73 and 114,799.79

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Solution

The fourth proportional to 205,443.73, 283,511.73 and 114,799.79 is: 158,423.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,443.73 : 283,511.73 = 114,799.79 : x
  2. Step 2: Convert to fraction form
    205,443.73/283,511.73 = 114,799.79/x
  3. Step 3: Cross multiply
    205,443.73x = 283,511.73 × 114,799.79
  4. Step 4: Simplify right side
    205,443.73x = 32,547,086,762.69
  5. Step 5: Solve for x
    x = 32,547,086,762.69/205,443.73
  6. Step 6: Final answer
    x = 158,423.36

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1.5x scale

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.