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Finding the Fourth Proportional to 205,083.87, 283,015.23 and 114,438.88

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Solution

The fourth proportional to 205,083.87, 283,015.23 and 114,438.88 is: 157,925.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,083.87 : 283,015.23 = 114,438.88 : x
  2. Step 2: Convert to fraction form
    205,083.87/283,015.23 = 114,438.88/x
  3. Step 3: Cross multiply
    205,083.87x = 283,015.23 × 114,438.88
  4. Step 4: Simplify right side
    205,083.87x = 32,387,944,437.74
  5. Step 5: Solve for x
    x = 32,387,944,437.74/205,083.87
  6. Step 6: Final answer
    x = 157,925.36

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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.