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Finding the Fourth Proportional to 122,893.80, 184,412.50 and 51,812.12

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Solution

The fourth proportional to 122,893.80, 184,412.50 and 51,812.12 is: 77,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,893.80 : 184,412.50 = 51,812.12 : x
  2. Step 2: Convert to fraction form
    122,893.80/184,412.50 = 51,812.12/x
  3. Step 3: Cross multiply
    122,893.80x = 184,412.50 × 51,812.12
  4. Step 4: Simplify right side
    122,893.80x = 9,554,802,579.50
  5. Step 5: Solve for x
    x = 9,554,802,579.50/122,893.80
  6. Step 6: Final answer
    x = 77,748.45

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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.