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Finding the Fourth Proportional to 160,972.60, 241,457.70 and 48,652.60

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Solution

The fourth proportional to 160,972.60, 241,457.70 and 48,652.60 is: 72,978.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,972.60 : 241,457.70 = 48,652.60 : x
  2. Step 2: Convert to fraction form
    160,972.60/241,457.70 = 48,652.60/x
  3. Step 3: Cross multiply
    160,972.60x = 241,457.70 × 48,652.60
  4. Step 4: Simplify right side
    160,972.60x = 11,747,544,895.02
  5. Step 5: Solve for x
    x = 11,747,544,895.02/160,972.60
  6. Step 6: Final answer
    x = 72,978.54

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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.