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Finding the Fourth Proportional to 179,098.51, 268,647.70 and 52,738.77

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Solution

The fourth proportional to 179,098.51, 268,647.70 and 52,738.77 is: 79,108.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,098.51 : 268,647.70 = 52,738.77 : x
  2. Step 2: Convert to fraction form
    179,098.51/268,647.70 = 52,738.77/x
  3. Step 3: Cross multiply
    179,098.51x = 268,647.70 × 52,738.77
  4. Step 4: Simplify right side
    179,098.51x = 14,168,149,261.33
  5. Step 5: Solve for x
    x = 14,168,149,261.33/179,098.51
  6. Step 6: Final answer
    x = 79,108.14

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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.