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Finding the Fourth Proportional to 152,202.68, 210,039.95 and 84,222.52

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Solution

The fourth proportional to 152,202.68, 210,039.95 and 84,222.52 is: 116,227.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,202.68 : 210,039.95 = 84,222.52 : x
  2. Step 2: Convert to fraction form
    152,202.68/210,039.95 = 84,222.52/x
  3. Step 3: Cross multiply
    152,202.68x = 210,039.95 × 84,222.52
  4. Step 4: Simplify right side
    152,202.68x = 17,690,093,889.67
  5. Step 5: Solve for x
    x = 17,690,093,889.67/152,202.68
  6. Step 6: Final answer
    x = 116,227.22

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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.