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Finding the Fourth Proportional to 273,280.80, 377,070.16 and 165,907.36

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Solution

The fourth proportional to 273,280.80, 377,070.16 and 165,907.36 is: 228,917.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,280.80 : 377,070.16 = 165,907.36 : x
  2. Step 2: Convert to fraction form
    273,280.80/377,070.16 = 165,907.36/x
  3. Step 3: Cross multiply
    273,280.80x = 377,070.16 × 165,907.36
  4. Step 4: Simplify right side
    273,280.80x = 62,558,714,780.38
  5. Step 5: Solve for x
    x = 62,558,714,780.38/273,280.80
  6. Step 6: Final answer
    x = 228,917.34

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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.