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Finding the Fourth Proportional to 301,973.10, 416,728.14 and 166,012.74

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Solution

The fourth proportional to 301,973.10, 416,728.14 and 166,012.74 is: 229,100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,973.10 : 416,728.14 = 166,012.74 : x
  2. Step 2: Convert to fraction form
    301,973.10/416,728.14 = 166,012.74/x
  3. Step 3: Cross multiply
    301,973.10x = 416,728.14 × 166,012.74
  4. Step 4: Simplify right side
    301,973.10x = 69,182,180,356.50
  5. Step 5: Solve for x
    x = 69,182,180,356.50/301,973.10
  6. Step 6: Final answer
    x = 229,100.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.