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Finding the Fourth Proportional to 174,970.64, 262,251.10 and 66,829.10

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Solution

The fourth proportional to 174,970.64, 262,251.10 and 66,829.10 is: 100,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,970.64 : 262,251.10 = 66,829.10 : x
  2. Step 2: Convert to fraction form
    174,970.64/262,251.10 = 66,829.10/x
  3. Step 3: Cross multiply
    174,970.64x = 262,251.10 × 66,829.10
  4. Step 4: Simplify right side
    174,970.64x = 17,526,004,987.01
  5. Step 5: Solve for x
    x = 17,526,004,987.01/174,970.64
  6. Step 6: Final answer
    x = 100,165.40

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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.