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Finding the Fourth Proportional to 357,141.85, 535,679.97 and 120,486.58

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Solution

The fourth proportional to 357,141.85, 535,679.97 and 120,486.58 is: 180,718.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,141.85 : 535,679.97 = 120,486.58 : x
  2. Step 2: Convert to fraction form
    357,141.85/535,679.97 = 120,486.58/x
  3. Step 3: Cross multiply
    357,141.85x = 535,679.97 × 120,486.58
  4. Step 4: Simplify right side
    357,141.85x = 64,542,246,220.60
  5. Step 5: Solve for x
    x = 64,542,246,220.60/357,141.85
  6. Step 6: Final answer
    x = 180,718.80

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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.