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Finding the Fourth Proportional to 314,048.83, 471,087.83 and 100,825.45

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Solution

The fourth proportional to 314,048.83, 471,087.83 and 100,825.45 is: 151,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,048.83 : 471,087.83 = 100,825.45 : x
  2. Step 2: Convert to fraction form
    314,048.83/471,087.83 = 100,825.45/x
  3. Step 3: Cross multiply
    314,048.83x = 471,087.83 × 100,825.45
  4. Step 4: Simplify right side
    314,048.83x = 47,497,642,449.27
  5. Step 5: Solve for x
    x = 47,497,642,449.27/314,048.83
  6. Step 6: Final answer
    x = 151,242.86

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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.