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Finding the Fourth Proportional to 152,266.50, 210,122.51 and 84,286.44

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Solution

The fourth proportional to 152,266.50, 210,122.51 and 84,286.44 is: 116,312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,266.50 : 210,122.51 = 84,286.44 : x
  2. Step 2: Convert to fraction form
    152,266.50/210,122.51 = 84,286.44/x
  3. Step 3: Cross multiply
    152,266.50x = 210,122.51 × 84,286.44
  4. Step 4: Simplify right side
    152,266.50x = 17,710,477,910.33
  5. Step 5: Solve for x
    x = 17,710,477,910.33/152,266.50
  6. Step 6: Final answer
    x = 116,312.37

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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.