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Finding the Fourth Proportional to 364,053.83, 545,651.82 and 164,140.16

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Solution

The fourth proportional to 364,053.83, 545,651.82 and 164,140.16 is: 246,016.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,053.83 : 545,651.82 = 164,140.16 : x
  2. Step 2: Convert to fraction form
    364,053.83/545,651.82 = 164,140.16/x
  3. Step 3: Cross multiply
    364,053.83x = 545,651.82 × 164,140.16
  4. Step 4: Simplify right side
    364,053.83x = 89,563,374,310.83
  5. Step 5: Solve for x
    x = 89,563,374,310.83/364,053.83
  6. Step 6: Final answer
    x = 246,016.85

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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.