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Finding the Fourth Proportional to 228,378.48, 342,370.88 and 109,886.82

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Solution

The fourth proportional to 228,378.48, 342,370.88 and 109,886.82 is: 164,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,378.48 : 342,370.88 = 109,886.82 : x
  2. Step 2: Convert to fraction form
    228,378.48/342,370.88 = 109,886.82/x
  3. Step 3: Cross multiply
    228,378.48x = 342,370.88 × 109,886.82
  4. Step 4: Simplify right side
    228,378.48x = 37,622,047,263.80
  5. Step 5: Solve for x
    x = 37,622,047,263.80/228,378.48
  6. Step 6: Final answer
    x = 164,735.52

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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.