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Finding the Fourth Proportional to 213,850.32, 295,102.93 and 121,973.24

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Solution

The fourth proportional to 213,850.32, 295,102.93 and 121,973.24 is: 168,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,850.32 : 295,102.93 = 121,973.24 : x
  2. Step 2: Convert to fraction form
    213,850.32/295,102.93 = 121,973.24/x
  3. Step 3: Cross multiply
    213,850.32x = 295,102.93 × 121,973.24
  4. Step 4: Simplify right side
    213,850.32x = 35,994,658,420.21
  5. Step 5: Solve for x
    x = 35,994,658,420.21/213,850.32
  6. Step 6: Final answer
    x = 168,317.07

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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.