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Finding the Fourth Proportional to 263,762.46, 363,970.65 and 154,855.32

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Solution

The fourth proportional to 263,762.46, 363,970.65 and 154,855.32 is: 213,687.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,762.46 : 363,970.65 = 154,855.32 : x
  2. Step 2: Convert to fraction form
    263,762.46/363,970.65 = 154,855.32/x
  3. Step 3: Cross multiply
    263,762.46x = 363,970.65 × 154,855.32
  4. Step 4: Simplify right side
    263,762.46x = 56,362,790,702.08
  5. Step 5: Solve for x
    x = 56,362,790,702.08/263,762.46
  6. Step 6: Final answer
    x = 213,687.69

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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.