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Finding the Fourth Proportional to 170,942.84, 256,424.30 and 64,327.71

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Solution

The fourth proportional to 170,942.84, 256,424.30 and 64,327.71 is: 96,495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,942.84 : 256,424.30 = 64,327.71 : x
  2. Step 2: Convert to fraction form
    170,942.84/256,424.30 = 64,327.71/x
  3. Step 3: Cross multiply
    170,942.84x = 256,424.30 × 64,327.71
  4. Step 4: Simplify right side
    170,942.84x = 16,495,187,386.67
  5. Step 5: Solve for x
    x = 16,495,187,386.67/170,942.84
  6. Step 6: Final answer
    x = 96,495.34

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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.