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Finding the Fourth Proportional to 130,675.60, 180,163 and 84,653.36

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Solution

The fourth proportional to 130,675.60, 180,163 and 84,653.36 is: 116,711.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,675.60 : 180,163 = 84,653.36 : x
  2. Step 2: Convert to fraction form
    130,675.60/180,163 = 84,653.36/x
  3. Step 3: Cross multiply
    130,675.60x = 180,163 × 84,653.36
  4. Step 4: Simplify right side
    130,675.60x = 15,251,403,297.68
  5. Step 5: Solve for x
    x = 15,251,403,297.68/130,675.60
  6. Step 6: Final answer
    x = 116,711.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.