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Finding the Fourth Proportional to 176,605.60, 264,908.40 and 76,748.80

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Solution

The fourth proportional to 176,605.60, 264,908.40 and 76,748.80 is: 115,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,605.60 : 264,908.40 = 76,748.80 : x
  2. Step 2: Convert to fraction form
    176,605.60/264,908.40 = 76,748.80/x
  3. Step 3: Cross multiply
    176,605.60x = 264,908.40 × 76,748.80
  4. Step 4: Simplify right side
    176,605.60x = 20,331,401,809.92
  5. Step 5: Solve for x
    x = 20,331,401,809.92/176,605.60
  6. Step 6: Final answer
    x = 115,123.20

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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.