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Finding the Fourth Proportional to 120,326, 180,498.72 and 37,220

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Solution

The fourth proportional to 120,326, 180,498.72 and 37,220 is: 55,833.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,326 : 180,498.72 = 37,220 : x
  2. Step 2: Convert to fraction form
    120,326/180,498.72 = 37,220/x
  3. Step 3: Cross multiply
    120,326x = 180,498.72 × 37,220
  4. Step 4: Simplify right side
    120,326x = 6,718,162,358.40
  5. Step 5: Solve for x
    x = 6,718,162,358.40/120,326
  6. Step 6: Final answer
    x = 55,833.01

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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.