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Finding the Fourth Proportional to 122,893.40, 184,340.02 and 70,265.96

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Solution

The fourth proportional to 122,893.40, 184,340.02 and 70,265.96 is: 105,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,893.40 : 184,340.02 = 70,265.96 : x
  2. Step 2: Convert to fraction form
    122,893.40/184,340.02 = 70,265.96/x
  3. Step 3: Cross multiply
    122,893.40x = 184,340.02 × 70,265.96
  4. Step 4: Simplify right side
    122,893.40x = 12,952,828,471.72
  5. Step 5: Solve for x
    x = 12,952,828,471.72/122,893.40
  6. Step 6: Final answer
    x = 105,398.89

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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.