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Finding the Fourth Proportional to 193,651.20, 290,476.80 and 53,409.60

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Solution

The fourth proportional to 193,651.20, 290,476.80 and 53,409.60 is: 80,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,651.20 : 290,476.80 = 53,409.60 : x
  2. Step 2: Convert to fraction form
    193,651.20/290,476.80 = 53,409.60/x
  3. Step 3: Cross multiply
    193,651.20x = 290,476.80 × 53,409.60
  4. Step 4: Simplify right side
    193,651.20x = 15,514,249,697.28
  5. Step 5: Solve for x
    x = 15,514,249,697.28/193,651.20
  6. Step 6: Final answer
    x = 80,114.40

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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.