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Finding the Fourth Proportional to 288,208.13, 432,327.95 and 119,745.48

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Solution

The fourth proportional to 288,208.13, 432,327.95 and 119,745.48 is: 179,624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,208.13 : 432,327.95 = 119,745.48 : x
  2. Step 2: Convert to fraction form
    288,208.13/432,327.95 = 119,745.48/x
  3. Step 3: Cross multiply
    288,208.13x = 432,327.95 × 119,745.48
  4. Step 4: Simplify right side
    288,208.13x = 51,769,319,270.35
  5. Step 5: Solve for x
    x = 51,769,319,270.35/288,208.13
  6. Step 6: Final answer
    x = 179,624.77

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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.