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Finding the Fourth Proportional to 171,855.49, 257,779.32 and 101,226.17

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Solution

The fourth proportional to 171,855.49, 257,779.32 and 101,226.17 is: 151,836.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,855.49 : 257,779.32 = 101,226.17 : x
  2. Step 2: Convert to fraction form
    171,855.49/257,779.32 = 101,226.17/x
  3. Step 3: Cross multiply
    171,855.49x = 257,779.32 × 101,226.17
  4. Step 4: Simplify right side
    171,855.49x = 26,094,013,157.90
  5. Step 5: Solve for x
    x = 26,094,013,157.90/171,855.49
  6. Step 6: Final answer
    x = 151,836.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.