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Finding the Fourth Proportional to 151,296.76, 208,785.75 and 83,313.19

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Solution

The fourth proportional to 151,296.76, 208,785.75 and 83,313.19 is: 114,970.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,296.76 : 208,785.75 = 83,313.19 : x
  2. Step 2: Convert to fraction form
    151,296.76/208,785.75 = 83,313.19/x
  3. Step 3: Cross multiply
    151,296.76x = 208,785.75 × 83,313.19
  4. Step 4: Simplify right side
    151,296.76x = 17,394,605,815.11
  5. Step 5: Solve for x
    x = 17,394,605,815.11/151,296.76
  6. Step 6: Final answer
    x = 114,970.12

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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.