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Finding the Fourth Proportional to 357,240.25, 535,860.37 and 120,749

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Solution

The fourth proportional to 357,240.25, 535,860.37 and 120,749 is: 181,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,240.25 : 535,860.37 = 120,749 : x
  2. Step 2: Convert to fraction form
    357,240.25/535,860.37 = 120,749/x
  3. Step 3: Cross multiply
    357,240.25x = 535,860.37 × 120,749
  4. Step 4: Simplify right side
    357,240.25x = 64,704,603,817.13
  5. Step 5: Solve for x
    x = 64,704,603,817.13/357,240.25
  6. Step 6: Final answer
    x = 181,123.50

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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.