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Finding the Fourth Proportional to 193,551.92, 290,055.60 and 153,933.20

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Solution

The fourth proportional to 193,551.92, 290,055.60 and 153,933.20 is: 230,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,551.92 : 290,055.60 = 153,933.20 : x
  2. Step 2: Convert to fraction form
    193,551.92/290,055.60 = 153,933.20/x
  3. Step 3: Cross multiply
    193,551.92x = 290,055.60 × 153,933.20
  4. Step 4: Simplify right side
    193,551.92x = 44,649,186,685.92
  5. Step 5: Solve for x
    x = 44,649,186,685.92/193,551.92
  6. Step 6: Final answer
    x = 230,683.25

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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.