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Finding the Fourth Proportional to 176,548.30, 264,217.65 and 106,477.90

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Solution

The fourth proportional to 176,548.30, 264,217.65 and 106,477.90 is: 159,352.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,548.30 : 264,217.65 = 106,477.90 : x
  2. Step 2: Convert to fraction form
    176,548.30/264,217.65 = 106,477.90/x
  3. Step 3: Cross multiply
    176,548.30x = 264,217.65 × 106,477.90
  4. Step 4: Simplify right side
    176,548.30x = 28,133,340,514.94
  5. Step 5: Solve for x
    x = 28,133,340,514.94/176,548.30
  6. Step 6: Final answer
    x = 159,352.09

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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.