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Finding the Fourth Proportional to 122,874.69, 184,356.41 and 42,924.47

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Solution

The fourth proportional to 122,874.69, 184,356.41 and 42,924.47 is: 64,402.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,874.69 : 184,356.41 = 42,924.47 : x
  2. Step 2: Convert to fraction form
    122,874.69/184,356.41 = 42,924.47/x
  3. Step 3: Cross multiply
    122,874.69x = 184,356.41 × 42,924.47
  4. Step 4: Simplify right side
    122,874.69x = 7,913,400,053.95
  5. Step 5: Solve for x
    x = 7,913,400,053.95/122,874.69
  6. Step 6: Final answer
    x = 64,402.20

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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.