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Finding the Fourth Proportional to 301,274.76, 451,798.20 and 101,541.72

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Solution

The fourth proportional to 301,274.76, 451,798.20 and 101,541.72 is: 152,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,274.76 : 451,798.20 = 101,541.72 : x
  2. Step 2: Convert to fraction form
    301,274.76/451,798.20 = 101,541.72/x
  3. Step 3: Cross multiply
    301,274.76x = 451,798.20 × 101,541.72
  4. Step 4: Simplify right side
    301,274.76x = 45,876,366,320.90
  5. Step 5: Solve for x
    x = 45,876,366,320.90/301,274.76
  6. Step 6: Final answer
    x = 152,274.18

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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.