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Finding the Fourth Proportional to 305,730.36, 458,774.14 and 128,222.50

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Solution

The fourth proportional to 305,730.36, 458,774.14 and 128,222.50 is: 192,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,730.36 : 458,774.14 = 128,222.50 : x
  2. Step 2: Convert to fraction form
    305,730.36/458,774.14 = 128,222.50/x
  3. Step 3: Cross multiply
    305,730.36x = 458,774.14 × 128,222.50
  4. Step 4: Simplify right side
    305,730.36x = 58,825,167,166.15
  5. Step 5: Solve for x
    x = 58,825,167,166.15/305,730.36
  6. Step 6: Final answer
    x = 192,408.65

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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.