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Finding the Fourth Proportional to 294,973.08, 407,061.90 and 160,837.08

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Solution

The fourth proportional to 294,973.08, 407,061.90 and 160,837.08 is: 221,954.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,973.08 : 407,061.90 = 160,837.08 : x
  2. Step 2: Convert to fraction form
    294,973.08/407,061.90 = 160,837.08/x
  3. Step 3: Cross multiply
    294,973.08x = 407,061.90 × 160,837.08
  4. Step 4: Simplify right side
    294,973.08x = 65,470,647,375.25
  5. Step 5: Solve for x
    x = 65,470,647,375.25/294,973.08
  6. Step 6: Final answer
    x = 221,954.65

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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.