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Finding the Fourth Proportional to 202,438.70, 303,658.05 and 97,232.30

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Solution

The fourth proportional to 202,438.70, 303,658.05 and 97,232.30 is: 145,848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,438.70 : 303,658.05 = 97,232.30 : x
  2. Step 2: Convert to fraction form
    202,438.70/303,658.05 = 97,232.30/x
  3. Step 3: Cross multiply
    202,438.70x = 303,658.05 × 97,232.30
  4. Step 4: Simplify right side
    202,438.70x = 29,525,370,615.02
  5. Step 5: Solve for x
    x = 29,525,370,615.02/202,438.70
  6. Step 6: Final answer
    x = 145,848.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.