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Finding the Fourth Proportional to 195,698, 293,547 and 47,954

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Solution

The fourth proportional to 195,698, 293,547 and 47,954 is: 71,931

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,698 : 293,547 = 47,954 : x
  2. Step 2: Convert to fraction form
    195,698/293,547 = 47,954/x
  3. Step 3: Cross multiply
    195,698x = 293,547 × 47,954
  4. Step 4: Simplify right side
    195,698x = 14,076,752,838
  5. Step 5: Solve for x
    x = 14,076,752,838/195,698
  6. Step 6: Final answer
    x = 71,931

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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.