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Finding the Fourth Proportional to 197,959.86, 296,878.23 and 64,810.44

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Solution

The fourth proportional to 197,959.86, 296,878.23 and 64,810.44 is: 97,195.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,959.86 : 296,878.23 = 64,810.44 : x
  2. Step 2: Convert to fraction form
    197,959.86/296,878.23 = 64,810.44/x
  3. Step 3: Cross multiply
    197,959.86x = 296,878.23 × 64,810.44
  4. Step 4: Simplify right side
    197,959.86x = 19,240,808,712.72
  5. Step 5: Solve for x
    x = 19,240,808,712.72/197,959.86
  6. Step 6: Final answer
    x = 97,195.51

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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.