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Finding the Fourth Proportional to 301,595.76, 416,235.42 and 172,546.20

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Solution

The fourth proportional to 301,595.76, 416,235.42 and 172,546.20 is: 238,132.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,595.76 : 416,235.42 = 172,546.20 : x
  2. Step 2: Convert to fraction form
    301,595.76/416,235.42 = 172,546.20/x
  3. Step 3: Cross multiply
    301,595.76x = 416,235.42 × 172,546.20
  4. Step 4: Simplify right side
    301,595.76x = 71,819,840,026.40
  5. Step 5: Solve for x
    x = 71,819,840,026.40/301,595.76
  6. Step 6: Final answer
    x = 238,132.79

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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.