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Finding the Fourth Proportional to 305,782.51, 458,678.55 and 92,552.75

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Solution

The fourth proportional to 305,782.51, 458,678.55 and 92,552.75 is: 138,830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,782.51 : 458,678.55 = 92,552.75 : x
  2. Step 2: Convert to fraction form
    305,782.51/458,678.55 = 92,552.75/x
  3. Step 3: Cross multiply
    305,782.51x = 458,678.55 × 92,552.75
  4. Step 4: Simplify right side
    305,782.51x = 42,451,961,168.51
  5. Step 5: Solve for x
    x = 42,451,961,168.51/305,782.51
  6. Step 6: Final answer
    x = 138,830.57

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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.