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Finding the Fourth Proportional to 301,085.64, 451,650.33 and 101,406.06

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Solution

The fourth proportional to 301,085.64, 451,650.33 and 101,406.06 is: 152,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,085.64 : 451,650.33 = 101,406.06 : x
  2. Step 2: Convert to fraction form
    301,085.64/451,650.33 = 101,406.06/x
  3. Step 3: Cross multiply
    301,085.64x = 451,650.33 × 101,406.06
  4. Step 4: Simplify right side
    301,085.64x = 45,800,080,463.00
  5. Step 5: Solve for x
    x = 45,800,080,463.00/301,085.64
  6. Step 6: Final answer
    x = 152,116.46

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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.