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Finding the Fourth Proportional to 243,040.59, 364,213.37 and 178,492.43

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Solution

The fourth proportional to 243,040.59, 364,213.37 and 178,492.43 is: 267,483.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,040.59 : 364,213.37 = 178,492.43 : x
  2. Step 2: Convert to fraction form
    243,040.59/364,213.37 = 178,492.43/x
  3. Step 3: Cross multiply
    243,040.59x = 364,213.37 × 178,492.43
  4. Step 4: Simplify right side
    243,040.59x = 65,009,326,736.26
  5. Step 5: Solve for x
    x = 65,009,326,736.26/243,040.59
  6. Step 6: Final answer
    x = 267,483.41

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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.