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Finding the Fourth Proportional to 203,415.13, 305,122.71 and 78,756.13

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Solution

The fourth proportional to 203,415.13, 305,122.71 and 78,756.13 is: 118,134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,415.13 : 305,122.71 = 78,756.13 : x
  2. Step 2: Convert to fraction form
    203,415.13/305,122.71 = 78,756.13/x
  3. Step 3: Cross multiply
    203,415.13x = 305,122.71 × 78,756.13
  4. Step 4: Simplify right side
    203,415.13x = 24,030,283,814.71
  5. Step 5: Solve for x
    x = 24,030,283,814.71/203,415.13
  6. Step 6: Final answer
    x = 118,134.20

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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.