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Finding the Fourth Proportional to 214,032.16, 295,361.40 and 123,388.30

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Solution

The fourth proportional to 214,032.16, 295,361.40 and 123,388.30 is: 170,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,032.16 : 295,361.40 = 123,388.30 : x
  2. Step 2: Convert to fraction form
    214,032.16/295,361.40 = 123,388.30/x
  3. Step 3: Cross multiply
    214,032.16x = 295,361.40 × 123,388.30
  4. Step 4: Simplify right side
    214,032.16x = 36,444,141,031.62
  5. Step 5: Solve for x
    x = 36,444,141,031.62/214,032.16
  6. Step 6: Final answer
    x = 170,274.14

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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.