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Finding the Fourth Proportional to 151,248.94, 208,719.86 and 83,265.37

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Solution

The fourth proportional to 151,248.94, 208,719.86 and 83,265.37 is: 114,904.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,248.94 : 208,719.86 = 83,265.37 : x
  2. Step 2: Convert to fraction form
    151,248.94/208,719.86 = 83,265.37/x
  3. Step 3: Cross multiply
    151,248.94x = 208,719.86 × 83,265.37
  4. Step 4: Simplify right side
    151,248.94x = 17,379,135,431.12
  5. Step 5: Solve for x
    x = 17,379,135,431.12/151,248.94
  6. Step 6: Final answer
    x = 114,904.18

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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.