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Finding the Fourth Proportional to 356,749.88, 535,206.72 and 120,086.24

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Solution

The fourth proportional to 356,749.88, 535,206.72 and 120,086.24 is: 180,156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,749.88 : 535,206.72 = 120,086.24 : x
  2. Step 2: Convert to fraction form
    356,749.88/535,206.72 = 120,086.24/x
  3. Step 3: Cross multiply
    356,749.88x = 535,206.72 × 120,086.24
  4. Step 4: Simplify right side
    356,749.88x = 64,270,962,627.53
  5. Step 5: Solve for x
    x = 64,270,962,627.53/356,749.88
  6. Step 6: Final answer
    x = 180,156.93

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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.