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Finding the Fourth Proportional to 305,722.35, 458,762.13 and 128,214.50

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Solution

The fourth proportional to 305,722.35, 458,762.13 and 128,214.50 is: 192,396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,722.35 : 458,762.13 = 128,214.50 : x
  2. Step 2: Convert to fraction form
    305,722.35/458,762.13 = 128,214.50/x
  3. Step 3: Cross multiply
    305,722.35x = 458,762.13 × 128,214.50
  4. Step 4: Simplify right side
    305,722.35x = 58,819,954,823.07
  5. Step 5: Solve for x
    x = 58,819,954,823.07/305,722.35
  6. Step 6: Final answer
    x = 192,396.65

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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.