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Finding the Fourth Proportional to 149,020.30, 205,653.42 and 85,370.40

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Solution

The fourth proportional to 149,020.30, 205,653.42 and 85,370.40 is: 117,814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,020.30 : 205,653.42 = 85,370.40 : x
  2. Step 2: Convert to fraction form
    149,020.30/205,653.42 = 85,370.40/x
  3. Step 3: Cross multiply
    149,020.30x = 205,653.42 × 85,370.40
  4. Step 4: Simplify right side
    149,020.30x = 17,556,714,726.77
  5. Step 5: Solve for x
    x = 17,556,714,726.77/149,020.30
  6. Step 6: Final answer
    x = 117,814.25

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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.