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Finding the Fourth Proportional to 176,103.80, 264,196 and 76,280.62

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Solution

The fourth proportional to 176,103.80, 264,196 and 76,280.62 is: 114,438.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,103.80 : 264,196 = 76,280.62 : x
  2. Step 2: Convert to fraction form
    176,103.80/264,196 = 76,280.62/x
  3. Step 3: Cross multiply
    176,103.80x = 264,196 × 76,280.62
  4. Step 4: Simplify right side
    176,103.80x = 20,153,034,681.52
  5. Step 5: Solve for x
    x = 20,153,034,681.52/176,103.80
  6. Step 6: Final answer
    x = 114,438.39

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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.