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Finding the Fourth Proportional to 160,650.10, 221,698.92 and 89,031.52

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Solution

The fourth proportional to 160,650.10, 221,698.92 and 89,031.52 is: 122,864.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,650.10 : 221,698.92 = 89,031.52 : x
  2. Step 2: Convert to fraction form
    160,650.10/221,698.92 = 89,031.52/x
  3. Step 3: Cross multiply
    160,650.10x = 221,698.92 × 89,031.52
  4. Step 4: Simplify right side
    160,650.10x = 19,738,191,829.96
  5. Step 5: Solve for x
    x = 19,738,191,829.96/160,650.10
  6. Step 6: Final answer
    x = 122,864.49

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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.