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Finding the Fourth Proportional to 152,100.36, 209,899.89 and 84,113.82

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Solution

The fourth proportional to 152,100.36, 209,899.89 and 84,113.82 is: 116,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,100.36 : 209,899.89 = 84,113.82 : x
  2. Step 2: Convert to fraction form
    152,100.36/209,899.89 = 84,113.82/x
  3. Step 3: Cross multiply
    152,100.36x = 209,899.89 × 84,113.82
  4. Step 4: Simplify right side
    152,100.36x = 17,655,481,565.48
  5. Step 5: Solve for x
    x = 17,655,481,565.48/152,100.36
  6. Step 6: Final answer
    x = 116,077.84

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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.