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Finding the Fourth Proportional to 122,654.93, 184,053.78 and 51,572.42

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Solution

The fourth proportional to 122,654.93, 184,053.78 and 51,572.42 is: 77,388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,654.93 : 184,053.78 = 51,572.42 : x
  2. Step 2: Convert to fraction form
    122,654.93/184,053.78 = 51,572.42/x
  3. Step 3: Cross multiply
    122,654.93x = 184,053.78 × 51,572.42
  4. Step 4: Simplify right side
    122,654.93x = 9,492,097,666.62
  5. Step 5: Solve for x
    x = 9,492,097,666.62/122,654.93
  6. Step 6: Final answer
    x = 77,388.64

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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.