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Finding the Fourth Proportional to 194,048.17, 291,051.78 and 51,907.79

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Solution

The fourth proportional to 194,048.17, 291,051.78 and 51,907.79 is: 77,856.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,048.17 : 291,051.78 = 51,907.79 : x
  2. Step 2: Convert to fraction form
    194,048.17/291,051.78 = 51,907.79/x
  3. Step 3: Cross multiply
    194,048.17x = 291,051.78 × 51,907.79
  4. Step 4: Simplify right side
    194,048.17x = 15,107,854,675.37
  5. Step 5: Solve for x
    x = 15,107,854,675.37/194,048.17
  6. Step 6: Final answer
    x = 77,856.21

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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.