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Finding the Fourth Proportional to 159,447.84, 239,054.64 and 76,400.16

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Solution

The fourth proportional to 159,447.84, 239,054.64 and 76,400.16 is: 114,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,447.84 : 239,054.64 = 76,400.16 : x
  2. Step 2: Convert to fraction form
    159,447.84/239,054.64 = 76,400.16/x
  3. Step 3: Cross multiply
    159,447.84x = 239,054.64 × 76,400.16
  4. Step 4: Simplify right side
    159,447.84x = 18,263,812,744.74
  5. Step 5: Solve for x
    x = 18,263,812,744.74/159,447.84
  6. Step 6: Final answer
    x = 114,544.12

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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.