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Finding the Fourth Proportional to 231,852.34, 319,959.56 and 135,053.72

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Solution

The fourth proportional to 231,852.34, 319,959.56 and 135,053.72 is: 186,376.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,852.34 : 319,959.56 = 135,053.72 : x
  2. Step 2: Convert to fraction form
    231,852.34/319,959.56 = 135,053.72/x
  3. Step 3: Cross multiply
    231,852.34x = 319,959.56 × 135,053.72
  4. Step 4: Simplify right side
    231,852.34x = 43,211,728,827.56
  5. Step 5: Solve for x
    x = 43,211,728,827.56/231,852.34
  6. Step 6: Final answer
    x = 186,376.07

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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.