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Finding the Fourth Proportional to 162,811.98, 224,790.24 and 101,651.38

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Solution

The fourth proportional to 162,811.98, 224,790.24 and 101,651.38 is: 140,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,811.98 : 224,790.24 = 101,651.38 : x
  2. Step 2: Convert to fraction form
    162,811.98/224,790.24 = 101,651.38/x
  3. Step 3: Cross multiply
    162,811.98x = 224,790.24 × 101,651.38
  4. Step 4: Simplify right side
    162,811.98x = 22,850,238,106.53
  5. Step 5: Solve for x
    x = 22,850,238,106.53/162,811.98
  6. Step 6: Final answer
    x = 140,347.40

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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.