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Finding the Fourth Proportional to 120,263.52, 180,412.56 and 37,164

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Solution

The fourth proportional to 120,263.52, 180,412.56 and 37,164 is: 55,751.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,263.52 : 180,412.56 = 37,164 : x
  2. Step 2: Convert to fraction form
    120,263.52/180,412.56 = 37,164/x
  3. Step 3: Cross multiply
    120,263.52x = 180,412.56 × 37,164
  4. Step 4: Simplify right side
    120,263.52x = 6,704,852,379.84
  5. Step 5: Solve for x
    x = 6,704,852,379.84/120,263.52
  6. Step 6: Final answer
    x = 55,751.34

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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.