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Finding the Fourth Proportional to 196,412.88, 294,569.88 and 56,172.24

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Solution

The fourth proportional to 196,412.88, 294,569.88 and 56,172.24 is: 84,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,412.88 : 294,569.88 = 56,172.24 : x
  2. Step 2: Convert to fraction form
    196,412.88/294,569.88 = 56,172.24/x
  3. Step 3: Cross multiply
    196,412.88x = 294,569.88 × 56,172.24
  4. Step 4: Simplify right side
    196,412.88x = 16,546,649,996.13
  5. Step 5: Solve for x
    x = 16,546,649,996.13/196,412.88
  6. Step 6: Final answer
    x = 84,244.22

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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.