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Finding the Fourth Proportional to 259,119.50, 357,674.40 and 151,724.06

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Solution

The fourth proportional to 259,119.50, 357,674.40 and 151,724.06 is: 209,431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,119.50 : 357,674.40 = 151,724.06 : x
  2. Step 2: Convert to fraction form
    259,119.50/357,674.40 = 151,724.06/x
  3. Step 3: Cross multiply
    259,119.50x = 357,674.40 × 151,724.06
  4. Step 4: Simplify right side
    259,119.50x = 54,267,812,126.06
  5. Step 5: Solve for x
    x = 54,267,812,126.06/259,119.50
  6. Step 6: Final answer
    x = 209,431.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.