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Finding the Fourth Proportional to 306,054.90, 459,082.35 and 81,414.90

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Solution

The fourth proportional to 306,054.90, 459,082.35 and 81,414.90 is: 122,122.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,054.90 : 459,082.35 = 81,414.90 : x
  2. Step 2: Convert to fraction form
    306,054.90/459,082.35 = 81,414.90/x
  3. Step 3: Cross multiply
    306,054.90x = 459,082.35 × 81,414.90
  4. Step 4: Simplify right side
    306,054.90x = 37,376,143,617.02
  5. Step 5: Solve for x
    x = 37,376,143,617.02/306,054.90
  6. Step 6: Final answer
    x = 122,122.35

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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.