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Finding the Fourth Proportional to 202,856.84, 304,460.22 and 78,285.32

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Solution

The fourth proportional to 202,856.84, 304,460.22 and 78,285.32 is: 117,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,856.84 : 304,460.22 = 78,285.32 : x
  2. Step 2: Convert to fraction form
    202,856.84/304,460.22 = 78,285.32/x
  3. Step 3: Cross multiply
    202,856.84x = 304,460.22 × 78,285.32
  4. Step 4: Simplify right side
    202,856.84x = 23,834,765,749.97
  5. Step 5: Solve for x
    x = 23,834,765,749.97/202,856.84
  6. Step 6: Final answer
    x = 117,495.50

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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.