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Finding the Fourth Proportional to 364,161.48, 546,307.98 and 111,437.43

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Solution

The fourth proportional to 364,161.48, 546,307.98 and 111,437.43 is: 167,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,161.48 : 546,307.98 = 111,437.43 : x
  2. Step 2: Convert to fraction form
    364,161.48/546,307.98 = 111,437.43/x
  3. Step 3: Cross multiply
    364,161.48x = 546,307.98 × 111,437.43
  4. Step 4: Simplify right side
    364,161.48x = 60,879,157,279.69
  5. Step 5: Solve for x
    x = 60,879,157,279.69/364,161.48
  6. Step 6: Final answer
    x = 167,176.27

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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.