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Finding the Fourth Proportional to 149,581.86, 224,307 and 56,022

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Solution

The fourth proportional to 149,581.86, 224,307 and 56,022 is: 84,008.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,581.86 : 224,307 = 56,022 : x
  2. Step 2: Convert to fraction form
    149,581.86/224,307 = 56,022/x
  3. Step 3: Cross multiply
    149,581.86x = 224,307 × 56,022
  4. Step 4: Simplify right side
    149,581.86x = 12,566,126,754
  5. Step 5: Solve for x
    x = 12,566,126,754/149,581.86
  6. Step 6: Final answer
    x = 84,008.36

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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.