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Finding the Fourth Proportional to 176,283.42, 264,457.94 and 57,959.43

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Solution

The fourth proportional to 176,283.42, 264,457.94 and 57,959.43 is: 86,949.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,283.42 : 264,457.94 = 57,959.43 : x
  2. Step 2: Convert to fraction form
    176,283.42/264,457.94 = 57,959.43/x
  3. Step 3: Cross multiply
    176,283.42x = 264,457.94 × 57,959.43
  4. Step 4: Simplify right side
    176,283.42x = 15,327,831,171.58
  5. Step 5: Solve for x
    x = 15,327,831,171.58/176,283.42
  6. Step 6: Final answer
    x = 86,949.93

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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.