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Finding the Fourth Proportional to 233,085.69, 321,683.12 and 136,319.13

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Solution

The fourth proportional to 233,085.69, 321,683.12 and 136,319.13 is: 188,134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,085.69 : 321,683.12 = 136,319.13 : x
  2. Step 2: Convert to fraction form
    233,085.69/321,683.12 = 136,319.13/x
  3. Step 3: Cross multiply
    233,085.69x = 321,683.12 × 136,319.13
  4. Step 4: Simplify right side
    233,085.69x = 43,851,560,764.07
  5. Step 5: Solve for x
    x = 43,851,560,764.07/233,085.69
  6. Step 6: Final answer
    x = 188,134.94

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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.