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Finding the Fourth Proportional to 194,322.77, 291,456.48 and 61,199.57

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Solution

The fourth proportional to 194,322.77, 291,456.48 and 61,199.57 is: 91,790.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,322.77 : 291,456.48 = 61,199.57 : x
  2. Step 2: Convert to fraction form
    194,322.77/291,456.48 = 61,199.57/x
  3. Step 3: Cross multiply
    194,322.77x = 291,456.48 × 61,199.57
  4. Step 4: Simplify right side
    194,322.77x = 17,837,011,978.35
  5. Step 5: Solve for x
    x = 17,837,011,978.35/194,322.77
  6. Step 6: Final answer
    x = 91,790.64

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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.