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Finding the Fourth Proportional to 196,669.60, 295,004.40 and 113,466.40

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Solution

The fourth proportional to 196,669.60, 295,004.40 and 113,466.40 is: 170,199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,669.60 : 295,004.40 = 113,466.40 : x
  2. Step 2: Convert to fraction form
    196,669.60/295,004.40 = 113,466.40/x
  3. Step 3: Cross multiply
    196,669.60x = 295,004.40 × 113,466.40
  4. Step 4: Simplify right side
    196,669.60x = 33,473,087,252.16
  5. Step 5: Solve for x
    x = 33,473,087,252.16/196,669.60
  6. Step 6: Final answer
    x = 170,199.60

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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.