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Finding the Fourth Proportional to 159,154.32, 238,694.44 and 46,804.49

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Solution

The fourth proportional to 159,154.32, 238,694.44 and 46,804.49 is: 70,195.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,154.32 : 238,694.44 = 46,804.49 : x
  2. Step 2: Convert to fraction form
    159,154.32/238,694.44 = 46,804.49/x
  3. Step 3: Cross multiply
    159,154.32x = 238,694.44 × 46,804.49
  4. Step 4: Simplify right side
    159,154.32x = 11,171,971,530.04
  5. Step 5: Solve for x
    x = 11,171,971,530.04/159,154.32
  6. Step 6: Final answer
    x = 70,195.84

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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.