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Finding the Fourth Proportional to 214,265.16, 321,361.20 and 56,495.16

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Solution

The fourth proportional to 214,265.16, 321,361.20 and 56,495.16 is: 84,733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,265.16 : 321,361.20 = 56,495.16 : x
  2. Step 2: Convert to fraction form
    214,265.16/321,361.20 = 56,495.16/x
  3. Step 3: Cross multiply
    214,265.16x = 321,361.20 × 56,495.16
  4. Step 4: Simplify right side
    214,265.16x = 18,155,352,411.79
  5. Step 5: Solve for x
    x = 18,155,352,411.79/214,265.16
  6. Step 6: Final answer
    x = 84,733.11

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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.