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Finding the Fourth Proportional to 205,117.33, 283,061.30 and 114,472.33

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Solution

The fourth proportional to 205,117.33, 283,061.30 and 114,472.33 is: 157,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,117.33 : 283,061.30 = 114,472.33 : x
  2. Step 2: Convert to fraction form
    205,117.33/283,061.30 = 114,472.33/x
  3. Step 3: Cross multiply
    205,117.33x = 283,061.30 × 114,472.33
  4. Step 4: Simplify right side
    205,117.33x = 32,402,685,128.52
  5. Step 5: Solve for x
    x = 32,402,685,128.52/205,117.33
  6. Step 6: Final answer
    x = 157,971.47

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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.