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Finding the Fourth Proportional to 228,856.92, 315,840.06 and 144,046.68

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Solution

The fourth proportional to 228,856.92, 315,840.06 and 144,046.68 is: 198,795.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,856.92 : 315,840.06 = 144,046.68 : x
  2. Step 2: Convert to fraction form
    228,856.92/315,840.06 = 144,046.68/x
  3. Step 3: Cross multiply
    228,856.92x = 315,840.06 × 144,046.68
  4. Step 4: Simplify right side
    228,856.92x = 45,495,712,054.00
  5. Step 5: Solve for x
    x = 45,495,712,054.00/228,856.92
  6. Step 6: Final answer
    x = 198,795.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.