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Finding the Fourth Proportional to 305,158.80, 457,746.30 and 94,801.80

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Solution

The fourth proportional to 305,158.80, 457,746.30 and 94,801.80 is: 142,205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,158.80 : 457,746.30 = 94,801.80 : x
  2. Step 2: Convert to fraction form
    305,158.80/457,746.30 = 94,801.80/x
  3. Step 3: Cross multiply
    305,158.80x = 457,746.30 × 94,801.80
  4. Step 4: Simplify right side
    305,158.80x = 43,395,173,183.34
  5. Step 5: Solve for x
    x = 43,395,173,183.34/305,158.80
  6. Step 6: Final answer
    x = 142,205.22

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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.