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Finding the Fourth Proportional to 169,900, 254,880.74 and 70,004.64

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Solution

The fourth proportional to 169,900, 254,880.74 and 70,004.64 is: 105,019.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,900 : 254,880.74 = 70,004.64 : x
  2. Step 2: Convert to fraction form
    169,900/254,880.74 = 70,004.64/x
  3. Step 3: Cross multiply
    169,900x = 254,880.74 × 70,004.64
  4. Step 4: Simplify right side
    169,900x = 17,842,834,446.63
  5. Step 5: Solve for x
    x = 17,842,834,446.63/169,900
  6. Step 6: Final answer
    x = 105,019.63

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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.