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Finding the Fourth Proportional to 199,224.60, 299,000.10 and 197,669.40

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Solution

The fourth proportional to 199,224.60, 299,000.10 and 197,669.40 is: 296,666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,224.60 : 299,000.10 = 197,669.40 : x
  2. Step 2: Convert to fraction form
    199,224.60/299,000.10 = 197,669.40/x
  3. Step 3: Cross multiply
    199,224.60x = 299,000.10 × 197,669.40
  4. Step 4: Simplify right side
    199,224.60x = 59,103,170,366.94
  5. Step 5: Solve for x
    x = 59,103,170,366.94/199,224.60
  6. Step 6: Final answer
    x = 296,666.03

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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.