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Finding the Fourth Proportional to 152,209.53, 210,059.66 and 84,229.37

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Solution

The fourth proportional to 152,209.53, 210,059.66 and 84,229.37 is: 116,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,209.53 : 210,059.66 = 84,229.37 : x
  2. Step 2: Convert to fraction form
    152,209.53/210,059.66 = 84,229.37/x
  3. Step 3: Cross multiply
    152,209.53x = 210,059.66 × 84,229.37
  4. Step 4: Simplify right side
    152,209.53x = 17,693,191,352.77
  5. Step 5: Solve for x
    x = 17,693,191,352.77/152,209.53
  6. Step 6: Final answer
    x = 116,242.34

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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.