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Finding the Fourth Proportional to 127,438.08, 191,196 and 65,152.32

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Solution

The fourth proportional to 127,438.08, 191,196 and 65,152.32 is: 97,748.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,438.08 : 191,196 = 65,152.32 : x
  2. Step 2: Convert to fraction form
    127,438.08/191,196 = 65,152.32/x
  3. Step 3: Cross multiply
    127,438.08x = 191,196 × 65,152.32
  4. Step 4: Simplify right side
    127,438.08x = 12,456,862,974.72
  5. Step 5: Solve for x
    x = 12,456,862,974.72/127,438.08
  6. Step 6: Final answer
    x = 97,748.36

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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.