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Finding the Fourth Proportional to 152,005.20, 213,157.20 and 152,005.20

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Solution

The fourth proportional to 152,005.20, 213,157.20 and 152,005.20 is: 213,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,005.20 : 213,157.20 = 152,005.20 : x
  2. Step 2: Convert to fraction form
    152,005.20/213,157.20 = 152,005.20/x
  3. Step 3: Cross multiply
    152,005.20x = 213,157.20 × 152,005.20
  4. Step 4: Simplify right side
    152,005.20x = 32,401,002,817.44
  5. Step 5: Solve for x
    x = 32,401,002,817.44/152,005.20
  6. Step 6: Final answer
    x = 213,157.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.