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Finding the Fourth Proportional to 170,753.67, 256,108.53 and 52,415.10

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Solution

The fourth proportional to 170,753.67, 256,108.53 and 52,415.10 is: 78,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,753.67 : 256,108.53 = 52,415.10 : x
  2. Step 2: Convert to fraction form
    170,753.67/256,108.53 = 52,415.10/x
  3. Step 3: Cross multiply
    170,753.67x = 256,108.53 × 52,415.10
  4. Step 4: Simplify right side
    170,753.67x = 13,423,954,407.36
  5. Step 5: Solve for x
    x = 13,423,954,407.36/170,753.67
  6. Step 6: Final answer
    x = 78,615.91

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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.