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Finding the Fourth Proportional to 277,896.06, 417,402.08 and 165,795.30

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Solution

The fourth proportional to 277,896.06, 417,402.08 and 165,795.30 is: 249,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,896.06 : 417,402.08 = 165,795.30 : x
  2. Step 2: Convert to fraction form
    277,896.06/417,402.08 = 165,795.30/x
  3. Step 3: Cross multiply
    277,896.06x = 417,402.08 × 165,795.30
  4. Step 4: Simplify right side
    277,896.06x = 69,203,303,074.22
  5. Step 5: Solve for x
    x = 69,203,303,074.22/277,896.06
  6. Step 6: Final answer
    x = 249,025.85

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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.