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Finding the Fourth Proportional to 204,978.60, 282,870.77 and 114,340.41

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Solution

The fourth proportional to 204,978.60, 282,870.77 and 114,340.41 is: 157,789.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,978.60 : 282,870.77 = 114,340.41 : x
  2. Step 2: Convert to fraction form
    204,978.60/282,870.77 = 114,340.41/x
  3. Step 3: Cross multiply
    204,978.60x = 282,870.77 × 114,340.41
  4. Step 4: Simplify right side
    204,978.60x = 32,343,559,247.11
  5. Step 5: Solve for x
    x = 32,343,559,247.11/204,978.60
  6. Step 6: Final answer
    x = 157,789.93

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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.