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Finding the Fourth Proportional to 180,412.31, 248,682.18 and 142,111.18

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Solution

The fourth proportional to 180,412.31, 248,682.18 and 142,111.18 is: 195,887.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,412.31 : 248,682.18 = 142,111.18 : x
  2. Step 2: Convert to fraction form
    180,412.31/248,682.18 = 142,111.18/x
  3. Step 3: Cross multiply
    180,412.31x = 248,682.18 × 142,111.18
  4. Step 4: Simplify right side
    180,412.31x = 35,340,518,388.90
  5. Step 5: Solve for x
    x = 35,340,518,388.90/180,412.31
  6. Step 6: Final answer
    x = 195,887.51

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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.