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Finding the Fourth Proportional to 344,065.29, 516,097.93 and 107,428.24

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Solution

The fourth proportional to 344,065.29, 516,097.93 and 107,428.24 is: 161,142.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,065.29 : 516,097.93 = 107,428.24 : x
  2. Step 2: Convert to fraction form
    344,065.29/516,097.93 = 107,428.24/x
  3. Step 3: Cross multiply
    344,065.29x = 516,097.93 × 107,428.24
  4. Step 4: Simplify right side
    344,065.29x = 55,443,492,287.54
  5. Step 5: Solve for x
    x = 55,443,492,287.54/344,065.29
  6. Step 6: Final answer
    x = 161,142.36

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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.