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Finding the Fourth Proportional to 196,547.20, 294,820.80 and 48,803.20

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Solution

The fourth proportional to 196,547.20, 294,820.80 and 48,803.20 is: 73,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,547.20 : 294,820.80 = 48,803.20 : x
  2. Step 2: Convert to fraction form
    196,547.20/294,820.80 = 48,803.20/x
  3. Step 3: Cross multiply
    196,547.20x = 294,820.80 × 48,803.20
  4. Step 4: Simplify right side
    196,547.20x = 14,388,198,466.56
  5. Step 5: Solve for x
    x = 14,388,198,466.56/196,547.20
  6. Step 6: Final answer
    x = 73,204.80

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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.