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Finding the Fourth Proportional to 152,024.60, 209,792.54 and 84,045.80

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Solution

The fourth proportional to 152,024.60, 209,792.54 and 84,045.80 is: 115,982.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,024.60 : 209,792.54 = 84,045.80 : x
  2. Step 2: Convert to fraction form
    152,024.60/209,792.54 = 84,045.80/x
  3. Step 3: Cross multiply
    152,024.60x = 209,792.54 × 84,045.80
  4. Step 4: Simplify right side
    152,024.60x = 17,632,181,858.33
  5. Step 5: Solve for x
    x = 17,632,181,858.33/152,024.60
  6. Step 6: Final answer
    x = 115,982.43

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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.