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Finding the Fourth Proportional to 145,195.54, 217,747.23 and 46,676.50

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Solution

The fourth proportional to 145,195.54, 217,747.23 and 46,676.50 is: 69,999.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,195.54 : 217,747.23 = 46,676.50 : x
  2. Step 2: Convert to fraction form
    145,195.54/217,747.23 = 46,676.50/x
  3. Step 3: Cross multiply
    145,195.54x = 217,747.23 × 46,676.50
  4. Step 4: Simplify right side
    145,195.54x = 10,163,678,581.10
  5. Step 5: Solve for x
    x = 10,163,678,581.10/145,195.54
  6. Step 6: Final answer
    x = 69,999.94

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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.