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Finding the Fourth Proportional to 263,642.55, 395,482.27 and 105,871

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Solution

The fourth proportional to 263,642.55, 395,482.27 and 105,871 is: 158,813.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,642.55 : 395,482.27 = 105,871 : x
  2. Step 2: Convert to fraction form
    263,642.55/395,482.27 = 105,871/x
  3. Step 3: Cross multiply
    263,642.55x = 395,482.27 × 105,871
  4. Step 4: Simplify right side
    263,642.55x = 41,870,103,407.17
  5. Step 5: Solve for x
    x = 41,870,103,407.17/263,642.55
  6. Step 6: Final answer
    x = 158,813.91

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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.