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Finding the Fourth Proportional to 301,097.84, 415,520.36 and 165,130.61

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Solution

The fourth proportional to 301,097.84, 415,520.36 and 165,130.61 is: 227,883.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,097.84 : 415,520.36 = 165,130.61 : x
  2. Step 2: Convert to fraction form
    301,097.84/415,520.36 = 165,130.61/x
  3. Step 3: Cross multiply
    301,097.84x = 415,520.36 × 165,130.61
  4. Step 4: Simplify right side
    301,097.84x = 68,615,130,687.40
  5. Step 5: Solve for x
    x = 68,615,130,687.40/301,097.84
  6. Step 6: Final answer
    x = 227,883.17

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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.