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Finding the Fourth Proportional to 305,772.40, 458,656.17 and 106,089.58

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Solution

The fourth proportional to 305,772.40, 458,656.17 and 106,089.58 is: 159,133.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,772.40 : 458,656.17 = 106,089.58 : x
  2. Step 2: Convert to fraction form
    305,772.40/458,656.17 = 106,089.58/x
  3. Step 3: Cross multiply
    305,772.40x = 458,656.17 × 106,089.58
  4. Step 4: Simplify right side
    305,772.40x = 48,658,640,439.71
  5. Step 5: Solve for x
    x = 48,658,640,439.71/305,772.40
  6. Step 6: Final answer
    x = 159,133.53

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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.