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Finding the Fourth Proportional to 192,851.60, 289,277.40 and 146,195.60

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Solution

The fourth proportional to 192,851.60, 289,277.40 and 146,195.60 is: 219,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,851.60 : 289,277.40 = 146,195.60 : x
  2. Step 2: Convert to fraction form
    192,851.60/289,277.40 = 146,195.60/x
  3. Step 3: Cross multiply
    192,851.60x = 289,277.40 × 146,195.60
  4. Step 4: Simplify right side
    192,851.60x = 42,291,083,059.44
  5. Step 5: Solve for x
    x = 42,291,083,059.44/192,851.60
  6. Step 6: Final answer
    x = 219,293.40

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1.5x scale

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.