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Finding the Fourth Proportional to 364,106.84, 546,222.82 and 111,381.26

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Solution

The fourth proportional to 364,106.84, 546,222.82 and 111,381.26 is: 167,091.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,106.84 : 546,222.82 = 111,381.26 : x
  2. Step 2: Convert to fraction form
    364,106.84/546,222.82 = 111,381.26/x
  3. Step 3: Cross multiply
    364,106.84x = 546,222.82 × 111,381.26
  4. Step 4: Simplify right side
    364,106.84x = 60,838,985,932.35
  5. Step 5: Solve for x
    x = 60,838,985,932.35/364,106.84
  6. Step 6: Final answer
    x = 167,091.03

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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.