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Finding the Fourth Proportional to 200,731.60, 301,097.40 and 199,349.20

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Solution

The fourth proportional to 200,731.60, 301,097.40 and 199,349.20 is: 299,023.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,731.60 : 301,097.40 = 199,349.20 : x
  2. Step 2: Convert to fraction form
    200,731.60/301,097.40 = 199,349.20/x
  3. Step 3: Cross multiply
    200,731.60x = 301,097.40 × 199,349.20
  4. Step 4: Simplify right side
    200,731.60x = 60,023,525,812.08
  5. Step 5: Solve for x
    x = 60,023,525,812.08/200,731.60
  6. Step 6: Final answer
    x = 299,023.80

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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.