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Finding the Fourth Proportional to 202,296.75, 303,459.71 and 77,637.75

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Solution

The fourth proportional to 202,296.75, 303,459.71 and 77,637.75 is: 116,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,296.75 : 303,459.71 = 77,637.75 : x
  2. Step 2: Convert to fraction form
    202,296.75/303,459.71 = 77,637.75/x
  3. Step 3: Cross multiply
    202,296.75x = 303,459.71 × 77,637.75
  4. Step 4: Simplify right side
    202,296.75x = 23,559,928,711.86
  5. Step 5: Solve for x
    x = 23,559,928,711.86/202,296.75
  6. Step 6: Final answer
    x = 116,462.22

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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.