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Finding the Fourth Proportional to 224,684.81, 309,922.64 and 170,851.80

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Solution

The fourth proportional to 224,684.81, 309,922.64 and 170,851.80 is: 235,667.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,684.81 : 309,922.64 = 170,851.80 : x
  2. Step 2: Convert to fraction form
    224,684.81/309,922.64 = 170,851.80/x
  3. Step 3: Cross multiply
    224,684.81x = 309,922.64 × 170,851.80
  4. Step 4: Simplify right side
    224,684.81x = 52,950,840,904.75
  5. Step 5: Solve for x
    x = 52,950,840,904.75/224,684.81
  6. Step 6: Final answer
    x = 235,667.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.