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Finding the Fourth Proportional to 160,617.51, 240,928.19 and 76,385.81

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Solution

The fourth proportional to 160,617.51, 240,928.19 and 76,385.81 is: 114,579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,617.51 : 240,928.19 = 76,385.81 : x
  2. Step 2: Convert to fraction form
    160,617.51/240,928.19 = 76,385.81/x
  3. Step 3: Cross multiply
    160,617.51x = 240,928.19 × 76,385.81
  4. Step 4: Simplify right side
    160,617.51x = 18,403,493,358.41
  5. Step 5: Solve for x
    x = 18,403,493,358.41/160,617.51
  6. Step 6: Final answer
    x = 114,579.62

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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.