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Finding the Fourth Proportional to 301,094.20, 451,641.30 and 101,348.20

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Solution

The fourth proportional to 301,094.20, 451,641.30 and 101,348.20 is: 152,022.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,094.20 : 451,641.30 = 101,348.20 : x
  2. Step 2: Convert to fraction form
    301,094.20/451,641.30 = 101,348.20/x
  3. Step 3: Cross multiply
    301,094.20x = 451,641.30 × 101,348.20
  4. Step 4: Simplify right side
    301,094.20x = 45,773,032,800.66
  5. Step 5: Solve for x
    x = 45,773,032,800.66/301,094.20
  6. Step 6: Final answer
    x = 152,022.30

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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.