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Finding the Fourth Proportional to 180,106.28, 248,539.64 and 103,650

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Solution

The fourth proportional to 180,106.28, 248,539.64 and 103,650 is: 143,032.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,106.28 : 248,539.64 = 103,650 : x
  2. Step 2: Convert to fraction form
    180,106.28/248,539.64 = 103,650/x
  3. Step 3: Cross multiply
    180,106.28x = 248,539.64 × 103,650
  4. Step 4: Simplify right side
    180,106.28x = 25,761,133,686
  5. Step 5: Solve for x
    x = 25,761,133,686/180,106.28
  6. Step 6: Final answer
    x = 143,032.96

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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.