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Finding the Fourth Proportional to 301,102.63, 451,654.74 and 101,563.18

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Solution

The fourth proportional to 301,102.63, 451,654.74 and 101,563.18 is: 152,345.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,102.63 : 451,654.74 = 101,563.18 : x
  2. Step 2: Convert to fraction form
    301,102.63/451,654.74 = 101,563.18/x
  3. Step 3: Cross multiply
    301,102.63x = 451,654.74 × 101,563.18
  4. Step 4: Simplify right side
    301,102.63x = 45,871,491,656.47
  5. Step 5: Solve for x
    x = 45,871,491,656.47/301,102.63
  6. Step 6: Final answer
    x = 152,345.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.