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Finding the Fourth Proportional to 164,128, 246,226.72 and 53,328.64

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Solution

The fourth proportional to 164,128, 246,226.72 and 53,328.64 is: 80,004.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,128 : 246,226.72 = 53,328.64 : x
  2. Step 2: Convert to fraction form
    164,128/246,226.72 = 53,328.64/x
  3. Step 3: Cross multiply
    164,128x = 246,226.72 × 53,328.64
  4. Step 4: Simplify right side
    164,128x = 13,130,936,109.26
  5. Step 5: Solve for x
    x = 13,130,936,109.26/164,128
  6. Step 6: Final answer
    x = 80,004.24

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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.