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Finding the Fourth Proportional to 221,820.16, 306,133.12 and 126,357.76

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Solution

The fourth proportional to 221,820.16, 306,133.12 and 126,357.76 is: 174,385.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,820.16 : 306,133.12 = 126,357.76 : x
  2. Step 2: Convert to fraction form
    221,820.16/306,133.12 = 126,357.76/x
  3. Step 3: Cross multiply
    221,820.16x = 306,133.12 × 126,357.76
  4. Step 4: Simplify right side
    221,820.16x = 38,682,295,305.01
  5. Step 5: Solve for x
    x = 38,682,295,305.01/221,820.16
  6. Step 6: Final answer
    x = 174,385.84

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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.