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Finding the Fourth Proportional to 153,091.84, 229,623.36 and 53,227.84

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Solution

The fourth proportional to 153,091.84, 229,623.36 and 53,227.84 is: 79,836.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,091.84 : 229,623.36 = 53,227.84 : x
  2. Step 2: Convert to fraction form
    153,091.84/229,623.36 = 53,227.84/x
  3. Step 3: Cross multiply
    153,091.84x = 229,623.36 × 53,227.84
  4. Step 4: Simplify right side
    153,091.84x = 12,222,355,466.34
  5. Step 5: Solve for x
    x = 12,222,355,466.34/153,091.84
  6. Step 6: Final answer
    x = 79,836.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.