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Finding the Fourth Proportional to 205,641.05, 283,782.71 and 114,995.98

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Solution

The fourth proportional to 205,641.05, 283,782.71 and 114,995.98 is: 158,693.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,641.05 : 283,782.71 = 114,995.98 : x
  2. Step 2: Convert to fraction form
    205,641.05/283,782.71 = 114,995.98/x
  3. Step 3: Cross multiply
    205,641.05x = 283,782.71 × 114,995.98
  4. Step 4: Simplify right side
    205,641.05x = 32,633,868,849.61
  5. Step 5: Solve for x
    x = 32,633,868,849.61/205,641.05
  6. Step 6: Final answer
    x = 158,693.36

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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.