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Finding the Fourth Proportional to 176,539.82, 264,865.07 and 58,294.20

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Solution

The fourth proportional to 176,539.82, 264,865.07 and 58,294.20 is: 87,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,539.82 : 264,865.07 = 58,294.20 : x
  2. Step 2: Convert to fraction form
    176,539.82/264,865.07 = 58,294.20/x
  3. Step 3: Cross multiply
    176,539.82x = 264,865.07 × 58,294.20
  4. Step 4: Simplify right side
    176,539.82x = 15,440,097,072.12
  5. Step 5: Solve for x
    x = 15,440,097,072.12/176,539.82
  6. Step 6: Final answer
    x = 87,459.57

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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.