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Finding the Fourth Proportional to 196,051.34, 294,053.62 and 53,911.05

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Solution

The fourth proportional to 196,051.34, 294,053.62 and 53,911.05 is: 80,860.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,051.34 : 294,053.62 = 53,911.05 : x
  2. Step 2: Convert to fraction form
    196,051.34/294,053.62 = 53,911.05/x
  3. Step 3: Cross multiply
    196,051.34x = 294,053.62 × 53,911.05
  4. Step 4: Simplify right side
    196,051.34x = 15,852,739,410.50
  5. Step 5: Solve for x
    x = 15,852,739,410.50/196,051.34
  6. Step 6: Final answer
    x = 80,860.15

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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.