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Finding the Fourth Proportional to 106,523.34, 159,784.65 and 59,809.02

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Solution

The fourth proportional to 106,523.34, 159,784.65 and 59,809.02 is: 89,713.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,523.34 : 159,784.65 = 59,809.02 : x
  2. Step 2: Convert to fraction form
    106,523.34/159,784.65 = 59,809.02/x
  3. Step 3: Cross multiply
    106,523.34x = 159,784.65 × 59,809.02
  4. Step 4: Simplify right side
    106,523.34x = 9,556,563,327.54
  5. Step 5: Solve for x
    x = 9,556,563,327.54/106,523.34
  6. Step 6: Final answer
    x = 89,713.33

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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.