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Finding the Fourth Proportional to 127,438.33, 191,196.38 and 65,152.57

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Solution

The fourth proportional to 127,438.33, 191,196.38 and 65,152.57 is: 97,748.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,438.33 : 191,196.38 = 65,152.57 : x
  2. Step 2: Convert to fraction form
    127,438.33/191,196.38 = 65,152.57/x
  3. Step 3: Cross multiply
    127,438.33x = 191,196.38 × 65,152.57
  4. Step 4: Simplify right side
    127,438.33x = 12,456,935,205.93
  5. Step 5: Solve for x
    x = 12,456,935,205.93/127,438.33
  6. Step 6: Final answer
    x = 97,748.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.