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Finding the Fourth Proportional to 364,206.26, 546,375.12 and 111,482.18

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Solution

The fourth proportional to 364,206.26, 546,375.12 and 111,482.18 is: 167,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,206.26 : 546,375.12 = 111,482.18 : x
  2. Step 2: Convert to fraction form
    364,206.26/546,375.12 = 111,482.18/x
  3. Step 3: Cross multiply
    364,206.26x = 546,375.12 × 111,482.18
  4. Step 4: Simplify right side
    364,206.26x = 60,911,089,475.36
  5. Step 5: Solve for x
    x = 60,911,089,475.36/364,206.26
  6. Step 6: Final answer
    x = 167,243.39

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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.