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Finding the Fourth Proportional to 214,491.16, 321,763.56 and 64,731.21

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Solution

The fourth proportional to 214,491.16, 321,763.56 and 64,731.21 is: 97,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,491.16 : 321,763.56 = 64,731.21 : x
  2. Step 2: Convert to fraction form
    214,491.16/321,763.56 = 64,731.21/x
  3. Step 3: Cross multiply
    214,491.16x = 321,763.56 × 64,731.21
  4. Step 4: Simplify right side
    214,491.16x = 20,828,144,572.71
  5. Step 5: Solve for x
    x = 20,828,144,572.71/214,491.16
  6. Step 6: Final answer
    x = 97,104.91

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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.