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Finding the Fourth Proportional to 152,113.36, 209,917.84 and 84,126.82

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Solution

The fourth proportional to 152,113.36, 209,917.84 and 84,126.82 is: 116,095.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,113.36 : 209,917.84 = 84,126.82 : x
  2. Step 2: Convert to fraction form
    152,113.36/209,917.84 = 84,126.82/x
  3. Step 3: Cross multiply
    152,113.36x = 209,917.84 × 84,126.82
  4. Step 4: Simplify right side
    152,113.36x = 17,659,720,340.47
  5. Step 5: Solve for x
    x = 17,659,720,340.47/152,113.36
  6. Step 6: Final answer
    x = 116,095.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.