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Finding the Fourth Proportional to 357,086.22, 535,255.68 and 120,347.16

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Solution

The fourth proportional to 357,086.22, 535,255.68 and 120,347.16 is: 180,394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,086.22 : 535,255.68 = 120,347.16 : x
  2. Step 2: Convert to fraction form
    357,086.22/535,255.68 = 120,347.16/x
  3. Step 3: Cross multiply
    357,086.22x = 535,255.68 × 120,347.16
  4. Step 4: Simplify right side
    357,086.22x = 64,416,500,961.87
  5. Step 5: Solve for x
    x = 64,416,500,961.87/357,086.22
  6. Step 6: Final answer
    x = 180,394.81

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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.