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Finding the Fourth Proportional to 216,603.84, 324,905.76 and 142,714.56

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Solution

The fourth proportional to 216,603.84, 324,905.76 and 142,714.56 is: 214,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,603.84 : 324,905.76 = 142,714.56 : x
  2. Step 2: Convert to fraction form
    216,603.84/324,905.76 = 142,714.56/x
  3. Step 3: Cross multiply
    216,603.84x = 324,905.76 × 142,714.56
  4. Step 4: Simplify right side
    216,603.84x = 46,368,782,579.87
  5. Step 5: Solve for x
    x = 46,368,782,579.87/216,603.84
  6. Step 6: Final answer
    x = 214,071.84

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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.