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Finding the Fourth Proportional to 193,918.40, 291,007.20 and 88,683.20

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Solution

The fourth proportional to 193,918.40, 291,007.20 and 88,683.20 is: 133,084.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,918.40 : 291,007.20 = 88,683.20 : x
  2. Step 2: Convert to fraction form
    193,918.40/291,007.20 = 88,683.20/x
  3. Step 3: Cross multiply
    193,918.40x = 291,007.20 × 88,683.20
  4. Step 4: Simplify right side
    193,918.40x = 25,807,449,719.04
  5. Step 5: Solve for x
    x = 25,807,449,719.04/193,918.40
  6. Step 6: Final answer
    x = 133,084.07

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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.