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Finding the Fourth Proportional to 120,405.27, 180,643.55 and 41,527.47

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Solution

The fourth proportional to 120,405.27, 180,643.55 and 41,527.47 is: 62,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,405.27 : 180,643.55 = 41,527.47 : x
  2. Step 2: Convert to fraction form
    120,405.27/180,643.55 = 41,527.47/x
  3. Step 3: Cross multiply
    120,405.27x = 180,643.55 × 41,527.47
  4. Step 4: Simplify right side
    120,405.27x = 7,501,669,395.68
  5. Step 5: Solve for x
    x = 7,501,669,395.68/120,405.27
  6. Step 6: Final answer
    x = 62,303.50

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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.