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Finding the Fourth Proportional to 231,405.45, 319,341.87 and 135,913.74

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Solution

The fourth proportional to 231,405.45, 319,341.87 and 135,913.74 is: 187,562.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,405.45 : 319,341.87 = 135,913.74 : x
  2. Step 2: Convert to fraction form
    231,405.45/319,341.87 = 135,913.74/x
  3. Step 3: Cross multiply
    231,405.45x = 319,341.87 × 135,913.74
  4. Step 4: Simplify right side
    231,405.45x = 43,402,947,890.29
  5. Step 5: Solve for x
    x = 43,402,947,890.29/231,405.45
  6. Step 6: Final answer
    x = 187,562.34

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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.