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Finding the Fourth Proportional to 214,365.24, 295,831.08 and 118,881

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Solution

The fourth proportional to 214,365.24, 295,831.08 and 118,881 is: 164,059.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,365.24 : 295,831.08 = 118,881 : x
  2. Step 2: Convert to fraction form
    214,365.24/295,831.08 = 118,881/x
  3. Step 3: Cross multiply
    214,365.24x = 295,831.08 × 118,881
  4. Step 4: Simplify right side
    214,365.24x = 35,168,694,621.48
  5. Step 5: Solve for x
    x = 35,168,694,621.48/214,365.24
  6. Step 6: Final answer
    x = 164,059.69

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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.