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Finding the Fourth Proportional to 313,668.32, 470,238.01 and 136,041.59

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Solution

The fourth proportional to 313,668.32, 470,238.01 and 136,041.59 is: 203,947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,668.32 : 470,238.01 = 136,041.59 : x
  2. Step 2: Convert to fraction form
    313,668.32/470,238.01 = 136,041.59/x
  3. Step 3: Cross multiply
    313,668.32x = 470,238.01 × 136,041.59
  4. Step 4: Simplify right side
    313,668.32x = 63,971,927,394.33
  5. Step 5: Solve for x
    x = 63,971,927,394.33/313,668.32
  6. Step 6: Final answer
    x = 203,947.69

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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.