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Finding the Fourth Proportional to 152,294.24, 210,172.92 and 85,226.24

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Solution

The fourth proportional to 152,294.24, 210,172.92 and 85,226.24 is: 117,616.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,294.24 : 210,172.92 = 85,226.24 : x
  2. Step 2: Convert to fraction form
    152,294.24/210,172.92 = 85,226.24/x
  3. Step 3: Cross multiply
    152,294.24x = 210,172.92 × 85,226.24
  4. Step 4: Simplify right side
    152,294.24x = 17,912,247,721.42
  5. Step 5: Solve for x
    x = 17,912,247,721.42/152,294.24
  6. Step 6: Final answer
    x = 117,616.06

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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.