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Finding the Fourth Proportional to 364,069.56, 546,104.52 and 114,771

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Solution

The fourth proportional to 364,069.56, 546,104.52 and 114,771 is: 172,156.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,069.56 : 546,104.52 = 114,771 : x
  2. Step 2: Convert to fraction form
    364,069.56/546,104.52 = 114,771/x
  3. Step 3: Cross multiply
    364,069.56x = 546,104.52 × 114,771
  4. Step 4: Simplify right side
    364,069.56x = 62,676,961,864.92
  5. Step 5: Solve for x
    x = 62,676,961,864.92/364,069.56
  6. Step 6: Final answer
    x = 172,156.56

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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.