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Finding the Fourth Proportional to 254,430.10, 382,021.80 and 142,334.20

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Solution

The fourth proportional to 254,430.10, 382,021.80 and 142,334.20 is: 213,712.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,430.10 : 382,021.80 = 142,334.20 : x
  2. Step 2: Convert to fraction form
    254,430.10/382,021.80 = 142,334.20/x
  3. Step 3: Cross multiply
    254,430.10x = 382,021.80 × 142,334.20
  4. Step 4: Simplify right side
    254,430.10x = 54,374,767,285.56
  5. Step 5: Solve for x
    x = 54,374,767,285.56/254,430.10
  6. Step 6: Final answer
    x = 213,712.01

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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.