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Finding the Fourth Proportional to 162,508.28, 224,167.44 and 97,933.48

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Solution

The fourth proportional to 162,508.28, 224,167.44 and 97,933.48 is: 135,091.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,508.28 : 224,167.44 = 97,933.48 : x
  2. Step 2: Convert to fraction form
    162,508.28/224,167.44 = 97,933.48/x
  3. Step 3: Cross multiply
    162,508.28x = 224,167.44 × 97,933.48
  4. Step 4: Simplify right side
    162,508.28x = 21,953,497,501.89
  5. Step 5: Solve for x
    x = 21,953,497,501.89/162,508.28
  6. Step 6: Final answer
    x = 135,091.56

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1.5x scale

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.