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Finding the Fourth Proportional to 178,973.63, 268,462.06 and 54,314.63

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Solution

The fourth proportional to 178,973.63, 268,462.06 and 54,314.63 is: 81,472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,973.63 : 268,462.06 = 54,314.63 : x
  2. Step 2: Convert to fraction form
    178,973.63/268,462.06 = 54,314.63/x
  3. Step 3: Cross multiply
    178,973.63x = 268,462.06 × 54,314.63
  4. Step 4: Simplify right side
    178,973.63x = 14,581,417,457.94
  5. Step 5: Solve for x
    x = 14,581,417,457.94/178,973.63
  6. Step 6: Final answer
    x = 81,472.44

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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.