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Finding the Fourth Proportional to 145,200.69, 217,814.49 and 56,460.87

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Solution

The fourth proportional to 145,200.69, 217,814.49 and 56,460.87 is: 84,696.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,200.69 : 217,814.49 = 56,460.87 : x
  2. Step 2: Convert to fraction form
    145,200.69/217,814.49 = 56,460.87/x
  3. Step 3: Cross multiply
    145,200.69x = 217,814.49 × 56,460.87
  4. Step 4: Simplify right side
    145,200.69x = 12,297,995,604.01
  5. Step 5: Solve for x
    x = 12,297,995,604.01/145,200.69
  6. Step 6: Final answer
    x = 84,696.54

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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.