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Finding the Fourth Proportional to 181,971, 251,121.78 and 106,521.12

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Solution

The fourth proportional to 181,971, 251,121.78 and 106,521.12 is: 147,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,971 : 251,121.78 = 106,521.12 : x
  2. Step 2: Convert to fraction form
    181,971/251,121.78 = 106,521.12/x
  3. Step 3: Cross multiply
    181,971x = 251,121.78 × 106,521.12
  4. Step 4: Simplify right side
    181,971x = 26,749,773,261.99
  5. Step 5: Solve for x
    x = 26,749,773,261.99/181,971
  6. Step 6: Final answer
    x = 147,000.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.