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Finding the Fourth Proportional to 107,866.58, 161,784.75 and 45,522.50

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Solution

The fourth proportional to 107,866.58, 161,784.75 and 45,522.50 is: 68,277.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,866.58 : 161,784.75 = 45,522.50 : x
  2. Step 2: Convert to fraction form
    107,866.58/161,784.75 = 45,522.50/x
  3. Step 3: Cross multiply
    107,866.58x = 161,784.75 × 45,522.50
  4. Step 4: Simplify right side
    107,866.58x = 7,364,846,281.88
  5. Step 5: Solve for x
    x = 7,364,846,281.88/107,866.58
  6. Step 6: Final answer
    x = 68,277.37

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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.