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Finding the Fourth Proportional to 176,605.10, 264,907.65 and 76,748.30

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Solution

The fourth proportional to 176,605.10, 264,907.65 and 76,748.30 is: 115,122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,605.10 : 264,907.65 = 76,748.30 : x
  2. Step 2: Convert to fraction form
    176,605.10/264,907.65 = 76,748.30/x
  3. Step 3: Cross multiply
    176,605.10x = 264,907.65 × 76,748.30
  4. Step 4: Simplify right side
    176,605.10x = 20,331,211,794.50
  5. Step 5: Solve for x
    x = 20,331,211,794.50/176,605.10
  6. Step 6: Final answer
    x = 115,122.45

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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.