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Finding the Fourth Proportional to 123,252.46, 184,595.52 and 78,270.52

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Solution

The fourth proportional to 123,252.46, 184,595.52 and 78,270.52 is: 117,225.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,252.46 : 184,595.52 = 78,270.52 : x
  2. Step 2: Convert to fraction form
    123,252.46/184,595.52 = 78,270.52/x
  3. Step 3: Cross multiply
    123,252.46x = 184,595.52 × 78,270.52
  4. Step 4: Simplify right side
    123,252.46x = 14,448,387,340.07
  5. Step 5: Solve for x
    x = 14,448,387,340.07/123,252.46
  6. Step 6: Final answer
    x = 117,225.96

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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.