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Finding the Fourth Proportional to 149,835.88, 206,779.81 and 86,173.74

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Solution

The fourth proportional to 149,835.88, 206,779.81 and 86,173.74 is: 118,923.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,835.88 : 206,779.81 = 86,173.74 : x
  2. Step 2: Convert to fraction form
    149,835.88/206,779.81 = 86,173.74/x
  3. Step 3: Cross multiply
    149,835.88x = 206,779.81 × 86,173.74
  4. Step 4: Simplify right side
    149,835.88x = 17,818,989,584.19
  5. Step 5: Solve for x
    x = 17,818,989,584.19/149,835.88
  6. Step 6: Final answer
    x = 118,923.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.