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Finding the Fourth Proportional to 162,834.17, 224,685.02 and 91,217.21

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Solution

The fourth proportional to 162,834.17, 224,685.02 and 91,217.21 is: 125,865.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,834.17 : 224,685.02 = 91,217.21 : x
  2. Step 2: Convert to fraction form
    162,834.17/224,685.02 = 91,217.21/x
  3. Step 3: Cross multiply
    162,834.17x = 224,685.02 × 91,217.21
  4. Step 4: Simplify right side
    162,834.17x = 20,495,139,757.81
  5. Step 5: Solve for x
    x = 20,495,139,757.81/162,834.17
  6. Step 6: Final answer
    x = 125,865.11

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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.