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Finding the Fourth Proportional to 122,952.10, 184,428.15 and 115,564.90

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Solution

The fourth proportional to 122,952.10, 184,428.15 and 115,564.90 is: 173,347.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,952.10 : 184,428.15 = 115,564.90 : x
  2. Step 2: Convert to fraction form
    122,952.10/184,428.15 = 115,564.90/x
  3. Step 3: Cross multiply
    122,952.10x = 184,428.15 × 115,564.90
  4. Step 4: Simplify right side
    122,952.10x = 21,313,420,711.94
  5. Step 5: Solve for x
    x = 21,313,420,711.94/122,952.10
  6. Step 6: Final answer
    x = 173,347.35

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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.