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Finding the Fourth Proportional to 127,416, 191,164.32 and 57,301.44

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Solution

The fourth proportional to 127,416, 191,164.32 and 57,301.44 is: 85,970.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,416 : 191,164.32 = 57,301.44 : x
  2. Step 2: Convert to fraction form
    127,416/191,164.32 = 57,301.44/x
  3. Step 3: Cross multiply
    127,416x = 191,164.32 × 57,301.44
  4. Step 4: Simplify right side
    127,416x = 10,953,990,812.62
  5. Step 5: Solve for x
    x = 10,953,990,812.62/127,416
  6. Step 6: Final answer
    x = 85,970.29

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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.