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Finding the Fourth Proportional to 193,002.08, 266,339.64 and 105,786.34

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Solution

The fourth proportional to 193,002.08, 266,339.64 and 105,786.34 is: 145,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,002.08 : 266,339.64 = 105,786.34 : x
  2. Step 2: Convert to fraction form
    193,002.08/266,339.64 = 105,786.34/x
  3. Step 3: Cross multiply
    193,002.08x = 266,339.64 × 105,786.34
  4. Step 4: Simplify right side
    193,002.08x = 28,175,095,443.37
  5. Step 5: Solve for x
    x = 28,175,095,443.37/193,002.08
  6. Step 6: Final answer
    x = 145,983.38

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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.