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Finding the Fourth Proportional to 259,401.27, 357,970.55 and 146,224.02

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Solution

The fourth proportional to 259,401.27, 357,970.55 and 146,224.02 is: 201,787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,401.27 : 357,970.55 = 146,224.02 : x
  2. Step 2: Convert to fraction form
    259,401.27/357,970.55 = 146,224.02/x
  3. Step 3: Cross multiply
    259,401.27x = 357,970.55 × 146,224.02
  4. Step 4: Simplify right side
    259,401.27x = 52,343,892,131.49
  5. Step 5: Solve for x
    x = 52,343,892,131.49/259,401.27
  6. Step 6: Final answer
    x = 201,787.34

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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.