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Finding the Fourth Proportional to 176,378.90, 264,309.15 and 71,014.10

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Solution

The fourth proportional to 176,378.90, 264,309.15 and 71,014.10 is: 106,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,378.90 : 264,309.15 = 71,014.10 : x
  2. Step 2: Convert to fraction form
    176,378.90/264,309.15 = 71,014.10/x
  3. Step 3: Cross multiply
    176,378.90x = 264,309.15 × 71,014.10
  4. Step 4: Simplify right side
    176,378.90x = 18,769,676,409.02
  5. Step 5: Solve for x
    x = 18,769,676,409.02/176,378.90
  6. Step 6: Final answer
    x = 106,416.79

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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.