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Finding the Fourth Proportional to 159,286, 238,943.88 and 46,966.32

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Solution

The fourth proportional to 159,286, 238,943.88 and 46,966.32 is: 70,453.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,286 : 238,943.88 = 46,966.32 : x
  2. Step 2: Convert to fraction form
    159,286/238,943.88 = 46,966.32/x
  3. Step 3: Cross multiply
    159,286x = 238,943.88 × 46,966.32
  4. Step 4: Simplify right side
    159,286x = 11,222,314,730.12
  5. Step 5: Solve for x
    x = 11,222,314,730.12/159,286
  6. Step 6: Final answer
    x = 70,453.87

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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.