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Finding the Fourth Proportional to 149,315.69, 224,006.76 and 54,545.69

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Solution

The fourth proportional to 149,315.69, 224,006.76 and 54,545.69 is: 81,830.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,315.69 : 224,006.76 = 54,545.69 : x
  2. Step 2: Convert to fraction form
    149,315.69/224,006.76 = 54,545.69/x
  3. Step 3: Cross multiply
    149,315.69x = 224,006.76 × 54,545.69
  4. Step 4: Simplify right side
    149,315.69x = 12,218,603,848.88
  5. Step 5: Solve for x
    x = 12,218,603,848.88/149,315.69
  6. Step 6: Final answer
    x = 81,830.67

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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.