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Finding the Fourth Proportional to 162,906.01, 224,810.28 and 99,243.76

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Solution

The fourth proportional to 162,906.01, 224,810.28 and 99,243.76 is: 136,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,906.01 : 224,810.28 = 99,243.76 : x
  2. Step 2: Convert to fraction form
    162,906.01/224,810.28 = 99,243.76/x
  3. Step 3: Cross multiply
    162,906.01x = 224,810.28 × 99,243.76
  4. Step 4: Simplify right side
    162,906.01x = 22,311,016,977.63
  5. Step 5: Solve for x
    x = 22,311,016,977.63/162,906.01
  6. Step 6: Final answer
    x = 136,956.38

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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.