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Finding the Fourth Proportional to 205,019.71, 282,927.32 and 114,375.68

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Solution

The fourth proportional to 205,019.71, 282,927.32 and 114,375.68 is: 157,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,019.71 : 282,927.32 = 114,375.68 : x
  2. Step 2: Convert to fraction form
    205,019.71/282,927.32 = 114,375.68/x
  3. Step 3: Cross multiply
    205,019.71x = 282,927.32 × 114,375.68
  4. Step 4: Simplify right side
    205,019.71x = 32,360,003,057.97
  5. Step 5: Solve for x
    x = 32,360,003,057.97/205,019.71
  6. Step 6: Final answer
    x = 157,838.50

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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.