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Finding the Fourth Proportional to 114,254.57, 171,380.02 and 31,148.57

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Solution

The fourth proportional to 114,254.57, 171,380.02 and 31,148.57 is: 46,722.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,254.57 : 171,380.02 = 31,148.57 : x
  2. Step 2: Convert to fraction form
    114,254.57/171,380.02 = 31,148.57/x
  3. Step 3: Cross multiply
    114,254.57x = 171,380.02 × 31,148.57
  4. Step 4: Simplify right side
    114,254.57x = 5,338,242,549.57
  5. Step 5: Solve for x
    x = 5,338,242,549.57/114,254.57
  6. Step 6: Final answer
    x = 46,722.35

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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.