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Finding the Fourth Proportional to 268,293.56, 370,164.37 and 160,824.38

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Solution

The fourth proportional to 268,293.56, 370,164.37 and 160,824.38 is: 221,889.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,293.56 : 370,164.37 = 160,824.38 : x
  2. Step 2: Convert to fraction form
    268,293.56/370,164.37 = 160,824.38/x
  3. Step 3: Cross multiply
    268,293.56x = 370,164.37 × 160,824.38
  4. Step 4: Simplify right side
    268,293.56x = 59,531,453,050.46
  5. Step 5: Solve for x
    x = 59,531,453,050.46/268,293.56
  6. Step 6: Final answer
    x = 221,889.24

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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.