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Finding the Fourth Proportional to 122,895, 184,352.50 and 34,148.51

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Solution

The fourth proportional to 122,895, 184,352.50 and 34,148.51 is: 51,225.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,895 : 184,352.50 = 34,148.51 : x
  2. Step 2: Convert to fraction form
    122,895/184,352.50 = 34,148.51/x
  3. Step 3: Cross multiply
    122,895x = 184,352.50 × 34,148.51
  4. Step 4: Simplify right side
    122,895x = 6,295,363,002.02
  5. Step 5: Solve for x
    x = 6,295,363,002.02/122,895
  6. Step 6: Final answer
    x = 51,225.54

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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.