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Finding the Fourth Proportional to 295,698.20, 443,547.30 and 137,942.60

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Solution

The fourth proportional to 295,698.20, 443,547.30 and 137,942.60 is: 206,913.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,698.20 : 443,547.30 = 137,942.60 : x
  2. Step 2: Convert to fraction form
    295,698.20/443,547.30 = 137,942.60/x
  3. Step 3: Cross multiply
    295,698.20x = 443,547.30 × 137,942.60
  4. Step 4: Simplify right side
    295,698.20x = 61,184,067,784.98
  5. Step 5: Solve for x
    x = 61,184,067,784.98/295,698.20
  6. Step 6: Final answer
    x = 206,913.90

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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.