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Finding the Fourth Proportional to 145,213.70, 217,834 and 56,473.88

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Solution

The fourth proportional to 145,213.70, 217,834 and 56,473.88 is: 84,716.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,213.70 : 217,834 = 56,473.88 : x
  2. Step 2: Convert to fraction form
    145,213.70/217,834 = 56,473.88/x
  3. Step 3: Cross multiply
    145,213.70x = 217,834 × 56,473.88
  4. Step 4: Simplify right side
    145,213.70x = 12,301,931,175.92
  5. Step 5: Solve for x
    x = 12,301,931,175.92/145,213.70
  6. Step 6: Final answer
    x = 84,716.05

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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.