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Finding the Fourth Proportional to 238,289, 357,214.46 and 103,268.41

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Solution

The fourth proportional to 238,289, 357,214.46 and 103,268.41 is: 154,807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,289 : 357,214.46 = 103,268.41 : x
  2. Step 2: Convert to fraction form
    238,289/357,214.46 = 103,268.41/x
  3. Step 3: Cross multiply
    238,289x = 357,214.46 × 103,268.41
  4. Step 4: Simplify right side
    238,289x = 36,888,969,313.21
  5. Step 5: Solve for x
    x = 36,888,969,313.21/238,289
  6. Step 6: Final answer
    x = 154,807.69

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Why These Related Problems?

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