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Finding the Fourth Proportional to 195,010, 292,515 and 47,266

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Solution

The fourth proportional to 195,010, 292,515 and 47,266 is: 70,899

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,010 : 292,515 = 47,266 : x
  2. Step 2: Convert to fraction form
    195,010/292,515 = 47,266/x
  3. Step 3: Cross multiply
    195,010x = 292,515 × 47,266
  4. Step 4: Simplify right side
    195,010x = 13,826,013,990
  5. Step 5: Solve for x
    x = 13,826,013,990/195,010
  6. Step 6: Final answer
    x = 70,899

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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.