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Finding the Fourth Proportional to 301,560.64, 452,341.23 and 91,198.78

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Solution

The fourth proportional to 301,560.64, 452,341.23 and 91,198.78 is: 136,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,560.64 : 452,341.23 = 91,198.78 : x
  2. Step 2: Convert to fraction form
    301,560.64/452,341.23 = 91,198.78/x
  3. Step 3: Cross multiply
    301,560.64x = 452,341.23 × 91,198.78
  4. Step 4: Simplify right side
    301,560.64x = 41,252,968,319.70
  5. Step 5: Solve for x
    x = 41,252,968,319.70/301,560.64
  6. Step 6: Final answer
    x = 136,798.25

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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.