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Finding the Fourth Proportional to 364,102.84, 546,216.81 and 111,377.26

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Solution

The fourth proportional to 364,102.84, 546,216.81 and 111,377.26 is: 167,085.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,102.84 : 546,216.81 = 111,377.26 : x
  2. Step 2: Convert to fraction form
    364,102.84/546,216.81 = 111,377.26/x
  3. Step 3: Cross multiply
    364,102.84x = 546,216.81 × 111,377.26
  4. Step 4: Simplify right side
    364,102.84x = 60,836,131,663.74
  5. Step 5: Solve for x
    x = 60,836,131,663.74/364,102.84
  6. Step 6: Final answer
    x = 167,085.02

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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.