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Finding the Fourth Proportional to 152,862.57, 210,975.39 and 89,200.17

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Solution

The fourth proportional to 152,862.57, 210,975.39 and 89,200.17 is: 123,110.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,862.57 : 210,975.39 = 89,200.17 : x
  2. Step 2: Convert to fraction form
    152,862.57/210,975.39 = 89,200.17/x
  3. Step 3: Cross multiply
    152,862.57x = 210,975.39 × 89,200.17
  4. Step 4: Simplify right side
    152,862.57x = 18,819,040,653.82
  5. Step 5: Solve for x
    x = 18,819,040,653.82/152,862.57
  6. Step 6: Final answer
    x = 123,110.85

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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.