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Finding the Fourth Proportional to 78,427.40, 117,641.10 and 73,243.40

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Solution

The fourth proportional to 78,427.40, 117,641.10 and 73,243.40 is: 109,865.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,427.40 : 117,641.10 = 73,243.40 : x
  2. Step 2: Convert to fraction form
    78,427.40/117,641.10 = 73,243.40/x
  3. Step 3: Cross multiply
    78,427.40x = 117,641.10 × 73,243.40
  4. Step 4: Simplify right side
    78,427.40x = 8,616,434,143.74
  5. Step 5: Solve for x
    x = 8,616,434,143.74/78,427.40
  6. Step 6: Final answer
    x = 109,865.10

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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.