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Finding the Fourth Proportional to 114,433.40, 171,650.10 and 30,193.40

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Solution

The fourth proportional to 114,433.40, 171,650.10 and 30,193.40 is: 45,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,433.40 : 171,650.10 = 30,193.40 : x
  2. Step 2: Convert to fraction form
    114,433.40/171,650.10 = 30,193.40/x
  3. Step 3: Cross multiply
    114,433.40x = 171,650.10 × 30,193.40
  4. Step 4: Simplify right side
    114,433.40x = 5,182,700,129.34
  5. Step 5: Solve for x
    x = 5,182,700,129.34/114,433.40
  6. Step 6: Final answer
    x = 45,290.10

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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.