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Finding the Fourth Proportional to 305,203.30, 457,862.34 and 122,848.04

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Solution

The fourth proportional to 305,203.30, 457,862.34 and 122,848.04 is: 184,295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,203.30 : 457,862.34 = 122,848.04 : x
  2. Step 2: Convert to fraction form
    305,203.30/457,862.34 = 122,848.04/x
  3. Step 3: Cross multiply
    305,203.30x = 457,862.34 × 122,848.04
  4. Step 4: Simplify right side
    305,203.30x = 56,247,491,058.81
  5. Step 5: Solve for x
    x = 56,247,491,058.81/305,203.30
  6. Step 6: Final answer
    x = 184,295.16

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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.