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Finding the Fourth Proportional to 196,808.93, 271,588.50 and 116,262.32

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Solution

The fourth proportional to 196,808.93, 271,588.50 and 116,262.32 is: 160,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,808.93 : 271,588.50 = 116,262.32 : x
  2. Step 2: Convert to fraction form
    196,808.93/271,588.50 = 116,262.32/x
  3. Step 3: Cross multiply
    196,808.93x = 271,588.50 × 116,262.32
  4. Step 4: Simplify right side
    196,808.93x = 31,575,509,095.32
  5. Step 5: Solve for x
    x = 31,575,509,095.32/196,808.93
  6. Step 6: Final answer
    x = 160,437.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.