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Finding the Fourth Proportional to 158,751.65, 238,194.12 and 98,830.24

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Solution

The fourth proportional to 158,751.65, 238,194.12 and 98,830.24 is: 148,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,751.65 : 238,194.12 = 98,830.24 : x
  2. Step 2: Convert to fraction form
    158,751.65/238,194.12 = 98,830.24/x
  3. Step 3: Cross multiply
    158,751.65x = 238,194.12 × 98,830.24
  4. Step 4: Simplify right side
    158,751.65x = 23,540,780,361.07
  5. Step 5: Solve for x
    x = 23,540,780,361.07/158,751.65
  6. Step 6: Final answer
    x = 148,286.84

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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.