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Finding the Fourth Proportional to 305,515.92, 458,164.53 and 105,782.70

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Solution

The fourth proportional to 305,515.92, 458,164.53 and 105,782.70 is: 158,636.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,515.92 : 458,164.53 = 105,782.70 : x
  2. Step 2: Convert to fraction form
    305,515.92/458,164.53 = 105,782.70/x
  3. Step 3: Cross multiply
    305,515.92x = 458,164.53 × 105,782.70
  4. Step 4: Simplify right side
    305,515.92x = 48,465,881,027.63
  5. Step 5: Solve for x
    x = 48,465,881,027.63/305,515.92
  6. Step 6: Final answer
    x = 158,636.19

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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.