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Finding the Fourth Proportional to 98,853.76, 148,302.42 and 28,738.54

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Solution

The fourth proportional to 98,853.76, 148,302.42 and 28,738.54 is: 43,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,853.76 : 148,302.42 = 28,738.54 : x
  2. Step 2: Convert to fraction form
    98,853.76/148,302.42 = 28,738.54/x
  3. Step 3: Cross multiply
    98,853.76x = 148,302.42 × 28,738.54
  4. Step 4: Simplify right side
    98,853.76x = 4,261,995,029.27
  5. Step 5: Solve for x
    x = 4,261,995,029.27/98,853.76
  6. Step 6: Final answer
    x = 43,114.14

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1.5x scale

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.