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Finding the Fourth Proportional to 364,072.56, 546,108.76 and 114,754.48

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Solution

The fourth proportional to 364,072.56, 546,108.76 and 114,754.48 is: 172,131.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,072.56 : 546,108.76 = 114,754.48 : x
  2. Step 2: Convert to fraction form
    364,072.56/546,108.76 = 114,754.48/x
  3. Step 3: Cross multiply
    364,072.56x = 546,108.76 × 114,754.48
  4. Step 4: Simplify right side
    364,072.56x = 62,668,426,777.24
  5. Step 5: Solve for x
    x = 62,668,426,777.24/364,072.56
  6. Step 6: Final answer
    x = 172,131.69

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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.