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Finding the Fourth Proportional to 224,688.81, 309,928.16 and 170,855.80

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Solution

The fourth proportional to 224,688.81, 309,928.16 and 170,855.80 is: 235,672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,688.81 : 309,928.16 = 170,855.80 : x
  2. Step 2: Convert to fraction form
    224,688.81/309,928.16 = 170,855.80/x
  3. Step 3: Cross multiply
    224,688.81x = 309,928.16 × 170,855.80
  4. Step 4: Simplify right side
    224,688.81x = 52,953,023,719.33
  5. Step 5: Solve for x
    x = 52,953,023,719.33/224,688.81
  6. Step 6: Final answer
    x = 235,672.72

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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.