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Finding the Fourth Proportional to 205,388.30, 283,407.81 and 114,733.06

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Solution

The fourth proportional to 205,388.30, 283,407.81 and 114,733.06 is: 158,315.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,388.30 : 283,407.81 = 114,733.06 : x
  2. Step 2: Convert to fraction form
    205,388.30/283,407.81 = 114,733.06/x
  3. Step 3: Cross multiply
    205,388.30x = 283,407.81 × 114,733.06
  4. Step 4: Simplify right side
    205,388.30x = 32,516,243,852.16
  5. Step 5: Solve for x
    x = 32,516,243,852.16/205,388.30
  6. Step 6: Final answer
    x = 158,315.95

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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.