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Finding the Fourth Proportional to 364,357.80, 546,407.10 and 164,773.80

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Solution

The fourth proportional to 364,357.80, 546,407.10 and 164,773.80 is: 247,102.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,357.80 : 546,407.10 = 164,773.80 : x
  2. Step 2: Convert to fraction form
    364,357.80/546,407.10 = 164,773.80/x
  3. Step 3: Cross multiply
    364,357.80x = 546,407.10 × 164,773.80
  4. Step 4: Simplify right side
    364,357.80x = 90,033,574,213.98
  5. Step 5: Solve for x
    x = 90,033,574,213.98/364,357.80
  6. Step 6: Final answer
    x = 247,102.09

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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.