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Finding the Fourth Proportional to 130,588.50, 180,229.14 and 76,878.48

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Solution

The fourth proportional to 130,588.50, 180,229.14 and 76,878.48 is: 106,102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,588.50 : 180,229.14 = 76,878.48 : x
  2. Step 2: Convert to fraction form
    130,588.50/180,229.14 = 76,878.48/x
  3. Step 3: Cross multiply
    130,588.50x = 180,229.14 × 76,878.48
  4. Step 4: Simplify right side
    130,588.50x = 13,855,742,334.91
  5. Step 5: Solve for x
    x = 13,855,742,334.91/130,588.50
  6. Step 6: Final answer
    x = 106,102.32

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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.