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Finding the Fourth Proportional to 169,902, 254,883.74 and 70,006.64

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Solution

The fourth proportional to 169,902, 254,883.74 and 70,006.64 is: 105,022.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,902 : 254,883.74 = 70,006.64 : x
  2. Step 2: Convert to fraction form
    169,902/254,883.74 = 70,006.64/x
  3. Step 3: Cross multiply
    169,902x = 254,883.74 × 70,006.64
  4. Step 4: Simplify right side
    169,902x = 17,843,554,228.03
  5. Step 5: Solve for x
    x = 17,843,554,228.03/169,902
  6. Step 6: Final answer
    x = 105,022.63

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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.