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Finding the Fourth Proportional to 164,246.30, 246,369.45 and 53,438.30

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Solution

The fourth proportional to 164,246.30, 246,369.45 and 53,438.30 is: 80,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,246.30 : 246,369.45 = 53,438.30 : x
  2. Step 2: Convert to fraction form
    164,246.30/246,369.45 = 53,438.30/x
  3. Step 3: Cross multiply
    164,246.30x = 246,369.45 × 53,438.30
  4. Step 4: Simplify right side
    164,246.30x = 13,165,564,579.94
  5. Step 5: Solve for x
    x = 13,165,564,579.94/164,246.30
  6. Step 6: Final answer
    x = 80,157.45

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1.5x scale

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.