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Finding the Fourth Proportional to 149,203, 223,804.50 and 44,020.45

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Solution

The fourth proportional to 149,203, 223,804.50 and 44,020.45 is: 66,030.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,203 : 223,804.50 = 44,020.45 : x
  2. Step 2: Convert to fraction form
    149,203/223,804.50 = 44,020.45/x
  3. Step 3: Cross multiply
    149,203x = 223,804.50 × 44,020.45
  4. Step 4: Simplify right side
    149,203x = 9,851,974,802.03
  5. Step 5: Solve for x
    x = 9,851,974,802.03/149,203
  6. Step 6: Final answer
    x = 66,030.68

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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.