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Finding the Fourth Proportional to 160,878.28, 241,317.48 and 55,639.84

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Solution

The fourth proportional to 160,878.28, 241,317.48 and 55,639.84 is: 83,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,878.28 : 241,317.48 = 55,639.84 : x
  2. Step 2: Convert to fraction form
    160,878.28/241,317.48 = 55,639.84/x
  3. Step 3: Cross multiply
    160,878.28x = 241,317.48 × 55,639.84
  4. Step 4: Simplify right side
    160,878.28x = 13,426,865,976.40
  5. Step 5: Solve for x
    x = 13,426,865,976.40/160,878.28
  6. Step 6: Final answer
    x = 83,459.78

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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.