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Finding the Fourth Proportional to 194,178.68, 291,280.58 and 61,064.09

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Solution

The fourth proportional to 194,178.68, 291,280.58 and 61,064.09 is: 91,600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,178.68 : 291,280.58 = 61,064.09 : x
  2. Step 2: Convert to fraction form
    194,178.68/291,280.58 = 61,064.09/x
  3. Step 3: Cross multiply
    194,178.68x = 291,280.58 × 61,064.09
  4. Step 4: Simplify right side
    194,178.68x = 17,786,783,552.37
  5. Step 5: Solve for x
    x = 17,786,783,552.37/194,178.68
  6. Step 6: Final answer
    x = 91,600.08

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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.