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Finding the Fourth Proportional to 364,092.48, 546,166.08 and 114,768

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Solution

The fourth proportional to 364,092.48, 546,166.08 and 114,768 is: 172,160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,092.48 : 546,166.08 = 114,768 : x
  2. Step 2: Convert to fraction form
    364,092.48/546,166.08 = 114,768/x
  3. Step 3: Cross multiply
    364,092.48x = 546,166.08 × 114,768
  4. Step 4: Simplify right side
    364,092.48x = 62,682,388,669.44
  5. Step 5: Solve for x
    x = 62,682,388,669.44/364,092.48
  6. Step 6: Final answer
    x = 172,160.62

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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.