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Finding the Fourth Proportional to 162,977.22, 224,908.29 and 91,357.29

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Solution

The fourth proportional to 162,977.22, 224,908.29 and 91,357.29 is: 126,072.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,977.22 : 224,908.29 = 91,357.29 : x
  2. Step 2: Convert to fraction form
    162,977.22/224,908.29 = 91,357.29/x
  3. Step 3: Cross multiply
    162,977.22x = 224,908.29 × 91,357.29
  4. Step 4: Simplify right side
    162,977.22x = 20,547,011,872.93
  5. Step 5: Solve for x
    x = 20,547,011,872.93/162,977.22
  6. Step 6: Final answer
    x = 126,072.91

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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.