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Finding the Fourth Proportional to 212,464.80, 318,812.40 and 94,154.40

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Solution

The fourth proportional to 212,464.80, 318,812.40 and 94,154.40 is: 141,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,464.80 : 318,812.40 = 94,154.40 : x
  2. Step 2: Convert to fraction form
    212,464.80/318,812.40 = 94,154.40/x
  3. Step 3: Cross multiply
    212,464.80x = 318,812.40 × 94,154.40
  4. Step 4: Simplify right side
    212,464.80x = 30,017,590,234.56
  5. Step 5: Solve for x
    x = 30,017,590,234.56/212,464.80
  6. Step 6: Final answer
    x = 141,282.65

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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.