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Finding the Fourth Proportional to 194,656.27, 291,959.16 and 61,549.96

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Solution

The fourth proportional to 194,656.27, 291,959.16 and 61,549.96 is: 92,316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,656.27 : 291,959.16 = 61,549.96 : x
  2. Step 2: Convert to fraction form
    194,656.27/291,959.16 = 61,549.96/x
  3. Step 3: Cross multiply
    194,656.27x = 291,959.16 × 61,549.96
  4. Step 4: Simplify right side
    194,656.27x = 17,970,074,619.63
  5. Step 5: Solve for x
    x = 17,970,074,619.63/194,656.27
  6. Step 6: Final answer
    x = 92,316.96

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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.