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Finding the Fourth Proportional to 176,495.16, 264,593.76 and 76,580.04

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Solution

The fourth proportional to 176,495.16, 264,593.76 and 76,580.04 is: 114,805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,495.16 : 264,593.76 = 76,580.04 : x
  2. Step 2: Convert to fraction form
    176,495.16/264,593.76 = 76,580.04/x
  3. Step 3: Cross multiply
    176,495.16x = 264,593.76 × 76,580.04
  4. Step 4: Simplify right side
    176,495.16x = 20,262,600,724.55
  5. Step 5: Solve for x
    x = 20,262,600,724.55/176,495.16
  6. Step 6: Final answer
    x = 114,805.42

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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.