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Finding the Fourth Proportional to 259,279, 357,836.70 and 146,122.36

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Solution

The fourth proportional to 259,279, 357,836.70 and 146,122.36 is: 201,666.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,279 : 357,836.70 = 146,122.36 : x
  2. Step 2: Convert to fraction form
    259,279/357,836.70 = 146,122.36/x
  3. Step 3: Cross multiply
    259,279x = 357,836.70 × 146,122.36
  4. Step 4: Simplify right side
    259,279x = 52,287,943,098.61
  5. Step 5: Solve for x
    x = 52,287,943,098.61/259,279
  6. Step 6: Final answer
    x = 201,666.71

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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.