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Finding the Fourth Proportional to 202,364.76, 303,562.12 and 77,705.76

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Solution

The fourth proportional to 202,364.76, 303,562.12 and 77,705.76 is: 116,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,364.76 : 303,562.12 = 77,705.76 : x
  2. Step 2: Convert to fraction form
    202,364.76/303,562.12 = 77,705.76/x
  3. Step 3: Cross multiply
    202,364.76x = 303,562.12 × 77,705.76
  4. Step 4: Simplify right side
    202,364.76x = 23,588,525,241.81
  5. Step 5: Solve for x
    x = 23,588,525,241.81/202,364.76
  6. Step 6: Final answer
    x = 116,564.39

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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.