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Finding the Fourth Proportional to 205,343.26, 283,370.63 and 114,700.86

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Solution

The fourth proportional to 205,343.26, 283,370.63 and 114,700.86 is: 158,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,343.26 : 283,370.63 = 114,700.86 : x
  2. Step 2: Convert to fraction form
    205,343.26/283,370.63 = 114,700.86/x
  3. Step 3: Cross multiply
    205,343.26x = 283,370.63 × 114,700.86
  4. Step 4: Simplify right side
    205,343.26x = 32,502,854,959.74
  5. Step 5: Solve for x
    x = 32,502,854,959.74/205,343.26
  6. Step 6: Final answer
    x = 158,285.47

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