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Finding the Fourth Proportional to 196,681.80, 295,022.70 and 103,175.40

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Solution

The fourth proportional to 196,681.80, 295,022.70 and 103,175.40 is: 154,763.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,681.80 : 295,022.70 = 103,175.40 : x
  2. Step 2: Convert to fraction form
    196,681.80/295,022.70 = 103,175.40/x
  3. Step 3: Cross multiply
    196,681.80x = 295,022.70 × 103,175.40
  4. Step 4: Simplify right side
    196,681.80x = 30,439,085,081.58
  5. Step 5: Solve for x
    x = 30,439,085,081.58/196,681.80
  6. Step 6: Final answer
    x = 154,763.10

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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.