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Finding the Fourth Proportional to 214,710.94, 322,078.14 and 64,947.58

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Solution

The fourth proportional to 214,710.94, 322,078.14 and 64,947.58 is: 97,424.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,710.94 : 322,078.14 = 64,947.58 : x
  2. Step 2: Convert to fraction form
    214,710.94/322,078.14 = 64,947.58/x
  3. Step 3: Cross multiply
    214,710.94x = 322,078.14 × 64,947.58
  4. Step 4: Simplify right side
    214,710.94x = 20,918,195,763.90
  5. Step 5: Solve for x
    x = 20,918,195,763.90/214,710.94
  6. Step 6: Final answer
    x = 97,424.92

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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.