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Finding the Fourth Proportional to 113,195.96, 169,688.36 and 38,264

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Solution

The fourth proportional to 113,195.96, 169,688.36 and 38,264 is: 57,360.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,195.96 : 169,688.36 = 38,264 : x
  2. Step 2: Convert to fraction form
    113,195.96/169,688.36 = 38,264/x
  3. Step 3: Cross multiply
    113,195.96x = 169,688.36 × 38,264
  4. Step 4: Simplify right side
    113,195.96x = 6,492,955,407.04
  5. Step 5: Solve for x
    x = 6,492,955,407.04/113,195.96
  6. Step 6: Final answer
    x = 57,360.31

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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.