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Finding the Fourth Proportional to 364,146.66, 546,285.42 and 111,422.34

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Solution

The fourth proportional to 364,146.66, 546,285.42 and 111,422.34 is: 167,153.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,146.66 : 546,285.42 = 111,422.34 : x
  2. Step 2: Convert to fraction form
    364,146.66/546,285.42 = 111,422.34/x
  3. Step 3: Cross multiply
    364,146.66x = 546,285.42 × 111,422.34
  4. Step 4: Simplify right side
    364,146.66x = 60,868,399,804.28
  5. Step 5: Solve for x
    x = 60,868,399,804.28/364,146.66
  6. Step 6: Final answer
    x = 167,153.53

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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.