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Finding the Fourth Proportional to 164,430, 246,653.10 and 53,622

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Solution

The fourth proportional to 164,430, 246,653.10 and 53,622 is: 80,435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,430 : 246,653.10 = 53,622 : x
  2. Step 2: Convert to fraction form
    164,430/246,653.10 = 53,622/x
  3. Step 3: Cross multiply
    164,430x = 246,653.10 × 53,622
  4. Step 4: Simplify right side
    164,430x = 13,226,032,528.20
  5. Step 5: Solve for x
    x = 13,226,032,528.20/164,430
  6. Step 6: Final answer
    x = 80,435.64

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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.