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Finding the Fourth Proportional to 107,784.56, 161,746.04 and 72,285.98

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Solution

The fourth proportional to 107,784.56, 161,746.04 and 72,285.98 is: 108,475.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,784.56 : 161,746.04 = 72,285.98 : x
  2. Step 2: Convert to fraction form
    107,784.56/161,746.04 = 72,285.98/x
  3. Step 3: Cross multiply
    107,784.56x = 161,746.04 × 72,285.98
  4. Step 4: Simplify right side
    107,784.56x = 11,691,970,384.50
  5. Step 5: Solve for x
    x = 11,691,970,384.50/107,784.56
  6. Step 6: Final answer
    x = 108,475.37

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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.