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Finding the Fourth Proportional to 164,002.64, 246,038.52 and 53,186

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Solution

The fourth proportional to 164,002.64, 246,038.52 and 53,186 is: 79,790.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,002.64 : 246,038.52 = 53,186 : x
  2. Step 2: Convert to fraction form
    164,002.64/246,038.52 = 53,186/x
  3. Step 3: Cross multiply
    164,002.64x = 246,038.52 × 53,186
  4. Step 4: Simplify right side
    164,002.64x = 13,085,804,724.72
  5. Step 5: Solve for x
    x = 13,085,804,724.72/164,002.64
  6. Step 6: Final answer
    x = 79,790.21

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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.