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Finding the Fourth Proportional to 223,407.72, 335,234.70 and 98,745.48

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Solution

The fourth proportional to 223,407.72, 335,234.70 and 98,745.48 is: 148,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,407.72 : 335,234.70 = 98,745.48 : x
  2. Step 2: Convert to fraction form
    223,407.72/335,234.70 = 98,745.48/x
  3. Step 3: Cross multiply
    223,407.72x = 335,234.70 × 98,745.48
  4. Step 4: Simplify right side
    223,407.72x = 33,102,911,364.16
  5. Step 5: Solve for x
    x = 33,102,911,364.16/223,407.72
  6. Step 6: Final answer
    x = 148,172.64

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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.