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Finding the Fourth Proportional to 145,822, 218,733 and 47,326

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Solution

The fourth proportional to 145,822, 218,733 and 47,326 is: 70,989

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,822 : 218,733 = 47,326 : x
  2. Step 2: Convert to fraction form
    145,822/218,733 = 47,326/x
  3. Step 3: Cross multiply
    145,822x = 218,733 × 47,326
  4. Step 4: Simplify right side
    145,822x = 10,351,757,958
  5. Step 5: Solve for x
    x = 10,351,757,958/145,822
  6. Step 6: Final answer
    x = 70,989

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.