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Finding the Fourth Proportional to 149,159.42, 205,849.19 and 85,506.79

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Solution

The fourth proportional to 149,159.42, 205,849.19 and 85,506.79 is: 118,004.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,159.42 : 205,849.19 = 85,506.79 : x
  2. Step 2: Convert to fraction form
    149,159.42/205,849.19 = 85,506.79/x
  3. Step 3: Cross multiply
    149,159.42x = 205,849.19 × 85,506.79
  4. Step 4: Simplify right side
    149,159.42x = 17,601,502,004.22
  5. Step 5: Solve for x
    x = 17,601,502,004.22/149,159.42
  6. Step 6: Final answer
    x = 118,004.63

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