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Finding the Fourth Proportional to 151,064.84, 208,465.07 and 83,081.75

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Solution

The fourth proportional to 151,064.84, 208,465.07 and 83,081.75 is: 114,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,064.84 : 208,465.07 = 83,081.75 : x
  2. Step 2: Convert to fraction form
    151,064.84/208,465.07 = 83,081.75/x
  3. Step 3: Cross multiply
    151,064.84x = 208,465.07 × 83,081.75
  4. Step 4: Simplify right side
    151,064.84x = 17,319,641,371.74
  5. Step 5: Solve for x
    x = 17,319,641,371.74/151,064.84
  6. Step 6: Final answer
    x = 114,650.38

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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.