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Finding the Fourth Proportional to 196,804.40, 295,206.60 and 157,438.40

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Solution

The fourth proportional to 196,804.40, 295,206.60 and 157,438.40 is: 236,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,804.40 : 295,206.60 = 157,438.40 : x
  2. Step 2: Convert to fraction form
    196,804.40/295,206.60 = 157,438.40/x
  3. Step 3: Cross multiply
    196,804.40x = 295,206.60 × 157,438.40
  4. Step 4: Simplify right side
    196,804.40x = 46,476,854,773.44
  5. Step 5: Solve for x
    x = 46,476,854,773.44/196,804.40
  6. Step 6: Final answer
    x = 236,157.60

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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.