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Finding the Fourth Proportional to 196,580.25, 294,870.38 and 48,836.25

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Solution

The fourth proportional to 196,580.25, 294,870.38 and 48,836.25 is: 73,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,580.25 : 294,870.38 = 48,836.25 : x
  2. Step 2: Convert to fraction form
    196,580.25/294,870.38 = 48,836.25/x
  3. Step 3: Cross multiply
    196,580.25x = 294,870.38 × 48,836.25
  4. Step 4: Simplify right side
    196,580.25x = 14,400,363,351.09
  5. Step 5: Solve for x
    x = 14,400,363,351.09/196,580.25
  6. Step 6: Final answer
    x = 73,254.38

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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.