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Finding the Fourth Proportional to 301,263.75, 415,743.99 and 167,127.75

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Solution

The fourth proportional to 301,263.75, 415,743.99 and 167,127.75 is: 230,636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,263.75 : 415,743.99 = 167,127.75 : x
  2. Step 2: Convert to fraction form
    301,263.75/415,743.99 = 167,127.75/x
  3. Step 3: Cross multiply
    301,263.75x = 415,743.99 × 167,127.75
  4. Step 4: Simplify right side
    301,263.75x = 69,482,357,624.72
  5. Step 5: Solve for x
    x = 69,482,357,624.72/301,263.75
  6. Step 6: Final answer
    x = 230,636.30

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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.