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Finding the Fourth Proportional to 152,915.10, 211,022.84 and 85,847.10

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Solution

The fourth proportional to 152,915.10, 211,022.84 and 85,847.10 is: 118,469.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,915.10 : 211,022.84 = 85,847.10 : x
  2. Step 2: Convert to fraction form
    152,915.10/211,022.84 = 85,847.10/x
  3. Step 3: Cross multiply
    152,915.10x = 211,022.84 × 85,847.10
  4. Step 4: Simplify right side
    152,915.10x = 18,115,698,418.53
  5. Step 5: Solve for x
    x = 18,115,698,418.53/152,915.10
  6. Step 6: Final answer
    x = 118,469.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.