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Finding the Fourth Proportional to 205,019.66, 282,927.26 and 114,375.63

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Solution

The fourth proportional to 205,019.66, 282,927.26 and 114,375.63 is: 157,838.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,019.66 : 282,927.26 = 114,375.63 : x
  2. Step 2: Convert to fraction form
    205,019.66/282,927.26 = 114,375.63/x
  3. Step 3: Cross multiply
    205,019.66x = 282,927.26 × 114,375.63
  4. Step 4: Simplify right side
    205,019.66x = 32,359,984,953.59
  5. Step 5: Solve for x
    x = 32,359,984,953.59/205,019.66
  6. Step 6: Final answer
    x = 157,838.45

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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.