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Finding the Fourth Proportional to 305,442.84, 458,054.46 and 105,709.02

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Solution

The fourth proportional to 305,442.84, 458,054.46 and 105,709.02 is: 158,525.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,442.84 : 458,054.46 = 105,709.02 : x
  2. Step 2: Convert to fraction form
    305,442.84/458,054.46 = 105,709.02/x
  3. Step 3: Cross multiply
    305,442.84x = 458,054.46 × 105,709.02
  4. Step 4: Simplify right side
    305,442.84x = 48,420,488,073.23
  5. Step 5: Solve for x
    x = 48,420,488,073.23/305,442.84
  6. Step 6: Final answer
    x = 158,525.53

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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.