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Finding the Fourth Proportional to 313,053.14, 431,533.98 and 191,969.90

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Solution

The fourth proportional to 313,053.14, 431,533.98 and 191,969.90 is: 264,624.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,053.14 : 431,533.98 = 191,969.90 : x
  2. Step 2: Convert to fraction form
    313,053.14/431,533.98 = 191,969.90/x
  3. Step 3: Cross multiply
    313,053.14x = 431,533.98 × 191,969.90
  4. Step 4: Simplify right side
    313,053.14x = 82,841,534,987.20
  5. Step 5: Solve for x
    x = 82,841,534,987.20/313,053.14
  6. Step 6: Final answer
    x = 264,624.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.