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Finding the Fourth Proportional to 104,541.64, 156,866.12 and 51,232.61

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Solution

The fourth proportional to 104,541.64, 156,866.12 and 51,232.61 is: 76,875.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,541.64 : 156,866.12 = 51,232.61 : x
  2. Step 2: Convert to fraction form
    104,541.64/156,866.12 = 51,232.61/x
  3. Step 3: Cross multiply
    104,541.64x = 156,866.12 × 51,232.61
  4. Step 4: Simplify right side
    104,541.64x = 8,036,660,748.17
  5. Step 5: Solve for x
    x = 8,036,660,748.17/104,541.64
  6. Step 6: Final answer
    x = 76,875.21

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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.