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Finding the Fourth Proportional to 213,241.93, 319,840.94 and 71,071.85

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Solution

The fourth proportional to 213,241.93, 319,840.94 and 71,071.85 is: 106,600.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,241.93 : 319,840.94 = 71,071.85 : x
  2. Step 2: Convert to fraction form
    213,241.93/319,840.94 = 71,071.85/x
  3. Step 3: Cross multiply
    213,241.93x = 319,840.94 × 71,071.85
  4. Step 4: Simplify right side
    213,241.93x = 22,731,686,089.94
  5. Step 5: Solve for x
    x = 22,731,686,089.94/213,241.93
  6. Step 6: Final answer
    x = 106,600.45

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1.5x scale

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.