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Finding the Fourth Proportional to 199,396.76, 299,235.42 and 180,339.50

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Solution

The fourth proportional to 199,396.76, 299,235.42 and 180,339.50 is: 270,636.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,396.76 : 299,235.42 = 180,339.50 : x
  2. Step 2: Convert to fraction form
    199,396.76/299,235.42 = 180,339.50/x
  3. Step 3: Cross multiply
    199,396.76x = 299,235.42 × 180,339.50
  4. Step 4: Simplify right side
    199,396.76x = 53,963,966,025.09
  5. Step 5: Solve for x
    x = 53,963,966,025.09/199,396.76
  6. Step 6: Final answer
    x = 270,636.12

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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.