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Finding the Fourth Proportional to 176,488.17, 264,765.06 and 58,167.84

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Solution

The fourth proportional to 176,488.17, 264,765.06 and 58,167.84 is: 87,262.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,488.17 : 264,765.06 = 58,167.84 : x
  2. Step 2: Convert to fraction form
    176,488.17/264,765.06 = 58,167.84/x
  3. Step 3: Cross multiply
    176,488.17x = 264,765.06 × 58,167.84
  4. Step 4: Simplify right side
    176,488.17x = 15,400,811,647.67
  5. Step 5: Solve for x
    x = 15,400,811,647.67/176,488.17
  6. Step 6: Final answer
    x = 87,262.57

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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.