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Finding the Fourth Proportional to 570,107.80, 855,189.25 and 149,384.08

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Solution

The fourth proportional to 570,107.80, 855,189.25 and 149,384.08 is: 224,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,107.80 : 855,189.25 = 149,384.08 : x
  2. Step 2: Convert to fraction form
    570,107.80/855,189.25 = 149,384.08/x
  3. Step 3: Cross multiply
    570,107.80x = 855,189.25 × 149,384.08
  4. Step 4: Simplify right side
    570,107.80x = 127,751,659,337.14
  5. Step 5: Solve for x
    x = 127,751,659,337.14/570,107.80
  6. Step 6: Final answer
    x = 224,083.34

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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.