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Finding the Fourth Proportional to 202,523.70, 303,749.10 and 127,509.60

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Solution

The fourth proportional to 202,523.70, 303,749.10 and 127,509.60 is: 191,241.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,523.70 : 303,749.10 = 127,509.60 : x
  2. Step 2: Convert to fraction form
    202,523.70/303,749.10 = 127,509.60/x
  3. Step 3: Cross multiply
    202,523.70x = 303,749.10 × 127,509.60
  4. Step 4: Simplify right side
    202,523.70x = 38,730,926,241.36
  5. Step 5: Solve for x
    x = 38,730,926,241.36/202,523.70
  6. Step 6: Final answer
    x = 191,241.45

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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.