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Finding the Fourth Proportional to 152,055, 209,835.86 and 83,144.64

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Solution

The fourth proportional to 152,055, 209,835.86 and 83,144.64 is: 114,739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,055 : 209,835.86 = 83,144.64 : x
  2. Step 2: Convert to fraction form
    152,055/209,835.86 = 83,144.64/x
  3. Step 3: Cross multiply
    152,055x = 209,835.86 × 83,144.64
  4. Step 4: Simplify right side
    152,055x = 17,446,726,623.07
  5. Step 5: Solve for x
    x = 17,446,726,623.07/152,055
  6. Step 6: Final answer
    x = 114,739.58

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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.