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Finding the Fourth Proportional to 195,014, 292,521 and 47,270

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Solution

The fourth proportional to 195,014, 292,521 and 47,270 is: 70,905

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,014 : 292,521 = 47,270 : x
  2. Step 2: Convert to fraction form
    195,014/292,521 = 47,270/x
  3. Step 3: Cross multiply
    195,014x = 292,521 × 47,270
  4. Step 4: Simplify right side
    195,014x = 13,827,467,670
  5. Step 5: Solve for x
    x = 13,827,467,670/195,014
  6. Step 6: Final answer
    x = 70,905

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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.