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Finding the Fourth Proportional to 180,828.17, 270,710.16 and 120,707.52

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Solution

The fourth proportional to 180,828.17, 270,710.16 and 120,707.52 is: 180,706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,828.17 : 270,710.16 = 120,707.52 : x
  2. Step 2: Convert to fraction form
    180,828.17/270,710.16 = 120,707.52/x
  3. Step 3: Cross multiply
    180,828.17x = 270,710.16 × 120,707.52
  4. Step 4: Simplify right side
    180,828.17x = 32,676,752,052.40
  5. Step 5: Solve for x
    x = 32,676,752,052.40/180,828.17
  6. Step 6: Final answer
    x = 180,706.09

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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.