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Finding the Fourth Proportional to 315,094.63, 434,755.80 and 179,117.83

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Solution

The fourth proportional to 315,094.63, 434,755.80 and 179,117.83 is: 247,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,094.63 : 434,755.80 = 179,117.83 : x
  2. Step 2: Convert to fraction form
    315,094.63/434,755.80 = 179,117.83/x
  3. Step 3: Cross multiply
    315,094.63x = 434,755.80 × 179,117.83
  4. Step 4: Simplify right side
    315,094.63x = 77,872,515,475.91
  5. Step 5: Solve for x
    x = 77,872,515,475.91/315,094.63
  6. Step 6: Final answer
    x = 247,140.09

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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.