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Finding the Fourth Proportional to 409,173, 613,781.28 and 128,712.12

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Solution

The fourth proportional to 409,173, 613,781.28 and 128,712.12 is: 193,075.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,173 : 613,781.28 = 128,712.12 : x
  2. Step 2: Convert to fraction form
    409,173/613,781.28 = 128,712.12/x
  3. Step 3: Cross multiply
    409,173x = 613,781.28 × 128,712.12
  4. Step 4: Simplify right side
    409,173x = 79,001,089,765.11
  5. Step 5: Solve for x
    x = 79,001,089,765.11/409,173
  6. Step 6: Final answer
    x = 193,075.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.