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Finding the Fourth Proportional to 202,552.58, 303,893.78 and 141,826.10

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Solution

The fourth proportional to 202,552.58, 303,893.78 and 141,826.10 is: 212,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,552.58 : 303,893.78 = 141,826.10 : x
  2. Step 2: Convert to fraction form
    202,552.58/303,893.78 = 141,826.10/x
  3. Step 3: Cross multiply
    202,552.58x = 303,893.78 × 141,826.10
  4. Step 4: Simplify right side
    202,552.58x = 43,100,069,631.66
  5. Step 5: Solve for x
    x = 43,100,069,631.66/202,552.58
  6. Step 6: Final answer
    x = 212,784.60

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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.