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Finding the Fourth Proportional to 194,473.89, 291,710.82 and 46,729.89

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Solution

The fourth proportional to 194,473.89, 291,710.82 and 46,729.89 is: 70,094.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,473.89 : 291,710.82 = 46,729.89 : x
  2. Step 2: Convert to fraction form
    194,473.89/291,710.82 = 46,729.89/x
  3. Step 3: Cross multiply
    194,473.89x = 291,710.82 × 46,729.89
  4. Step 4: Simplify right side
    194,473.89x = 13,631,614,530.41
  5. Step 5: Solve for x
    x = 13,631,614,530.41/194,473.89
  6. Step 6: Final answer
    x = 70,094.83

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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.