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Finding the Fourth Proportional to 107,668.80, 161,403.84 and 57,783.84

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Solution

The fourth proportional to 107,668.80, 161,403.84 and 57,783.84 is: 86,622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,668.80 : 161,403.84 = 57,783.84 : x
  2. Step 2: Convert to fraction form
    107,668.80/161,403.84 = 57,783.84/x
  3. Step 3: Cross multiply
    107,668.80x = 161,403.84 × 57,783.84
  4. Step 4: Simplify right side
    107,668.80x = 9,326,533,665.95
  5. Step 5: Solve for x
    x = 9,326,533,665.95/107,668.80
  6. Step 6: Final answer
    x = 86,622.44

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Why These Related Problems?

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