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Finding the Fourth Proportional to 152,013.52, 209,777.16 and 84,945.52

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Solution

The fourth proportional to 152,013.52, 209,777.16 and 84,945.52 is: 117,223.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,013.52 : 209,777.16 = 84,945.52 : x
  2. Step 2: Convert to fraction form
    152,013.52/209,777.16 = 84,945.52/x
  3. Step 3: Cross multiply
    152,013.52x = 209,777.16 × 84,945.52
  4. Step 4: Simplify right side
    152,013.52x = 17,819,629,940.32
  5. Step 5: Solve for x
    x = 17,819,629,940.32/152,013.52
  6. Step 6: Final answer
    x = 117,223.98

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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.