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Finding the Fourth Proportional to 145,690.44, 218,482.92 and 50,894.16

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Solution

The fourth proportional to 145,690.44, 218,482.92 and 50,894.16 is: 76,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,690.44 : 218,482.92 = 50,894.16 : x
  2. Step 2: Convert to fraction form
    145,690.44/218,482.92 = 50,894.16/x
  3. Step 3: Cross multiply
    145,690.44x = 218,482.92 × 50,894.16
  4. Step 4: Simplify right side
    145,690.44x = 11,119,504,687.75
  5. Step 5: Solve for x
    x = 11,119,504,687.75/145,690.44
  6. Step 6: Final answer
    x = 76,322.82

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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.