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Finding the Fourth Proportional to 176,647.80, 264,582.90 and 106,404.60

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Solution

The fourth proportional to 176,647.80, 264,582.90 and 106,404.60 is: 159,372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,647.80 : 264,582.90 = 106,404.60 : x
  2. Step 2: Convert to fraction form
    176,647.80/264,582.90 = 106,404.60/x
  3. Step 3: Cross multiply
    176,647.80x = 264,582.90 × 106,404.60
  4. Step 4: Simplify right side
    176,647.80x = 28,152,837,641.34
  5. Step 5: Solve for x
    x = 28,152,837,641.34/176,647.80
  6. Step 6: Final answer
    x = 159,372.70

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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.