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Finding the Fourth Proportional to 98,804.46, 148,214.20 and 38,804

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Solution

The fourth proportional to 98,804.46, 148,214.20 and 38,804 is: 58,208.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,804.46 : 148,214.20 = 38,804 : x
  2. Step 2: Convert to fraction form
    98,804.46/148,214.20 = 38,804/x
  3. Step 3: Cross multiply
    98,804.46x = 148,214.20 × 38,804
  4. Step 4: Simplify right side
    98,804.46x = 5,751,303,816.80
  5. Step 5: Solve for x
    x = 5,751,303,816.80/98,804.46
  6. Step 6: Final answer
    x = 58,208.95

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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.