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Finding the Fourth Proportional to 202,232.60, 303,543.30 and 102,505.40

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Solution

The fourth proportional to 202,232.60, 303,543.30 and 102,505.40 is: 153,856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,232.60 : 303,543.30 = 102,505.40 : x
  2. Step 2: Convert to fraction form
    202,232.60/303,543.30 = 102,505.40/x
  3. Step 3: Cross multiply
    202,232.60x = 303,543.30 × 102,505.40
  4. Step 4: Simplify right side
    202,232.60x = 31,114,827,383.82
  5. Step 5: Solve for x
    x = 31,114,827,383.82/202,232.60
  6. Step 6: Final answer
    x = 153,856.64

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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.