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Finding the Fourth Proportional to 344,808.99, 517,046.90 and 120,164.13

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Solution

The fourth proportional to 344,808.99, 517,046.90 and 120,164.13 is: 180,188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,808.99 : 517,046.90 = 120,164.13 : x
  2. Step 2: Convert to fraction form
    344,808.99/517,046.90 = 120,164.13/x
  3. Step 3: Cross multiply
    344,808.99x = 517,046.90 × 120,164.13
  4. Step 4: Simplify right side
    344,808.99x = 62,130,490,306.88
  5. Step 5: Solve for x
    x = 62,130,490,306.88/344,808.99
  6. Step 6: Final answer
    x = 180,188.14

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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.