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Finding the Fourth Proportional to 202,531.68, 303,533.28 and 146,560.32

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Solution

The fourth proportional to 202,531.68, 303,533.28 and 146,560.32 is: 219,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,531.68 : 303,533.28 = 146,560.32 : x
  2. Step 2: Convert to fraction form
    202,531.68/303,533.28 = 146,560.32/x
  3. Step 3: Cross multiply
    202,531.68x = 303,533.28 × 146,560.32
  4. Step 4: Simplify right side
    202,531.68x = 44,485,934,647.45
  5. Step 5: Solve for x
    x = 44,485,934,647.45/202,531.68
  6. Step 6: Final answer
    x = 219,649.26

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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.