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Finding the Fourth Proportional to 194,482.10, 291,723.15 and 164,414.90

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Solution

The fourth proportional to 194,482.10, 291,723.15 and 164,414.90 is: 246,622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,482.10 : 291,723.15 = 164,414.90 : x
  2. Step 2: Convert to fraction form
    194,482.10/291,723.15 = 164,414.90/x
  3. Step 3: Cross multiply
    194,482.10x = 291,723.15 × 164,414.90
  4. Step 4: Simplify right side
    194,482.10x = 47,963,632,534.94
  5. Step 5: Solve for x
    x = 47,963,632,534.94/194,482.10
  6. Step 6: Final answer
    x = 246,622.35

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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.