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Finding the Fourth Proportional to 364,173.84, 546,241.32 and 139,641.84

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Solution

The fourth proportional to 364,173.84, 546,241.32 and 139,641.84 is: 209,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,173.84 : 546,241.32 = 139,641.84 : x
  2. Step 2: Convert to fraction form
    364,173.84/546,241.32 = 139,641.84/x
  3. Step 3: Cross multiply
    364,173.84x = 546,241.32 × 139,641.84
  4. Step 4: Simplify right side
    364,173.84x = 76,278,143,008.83
  5. Step 5: Solve for x
    x = 76,278,143,008.83/364,173.84
  6. Step 6: Final answer
    x = 209,455.31

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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.