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Finding the Fourth Proportional to 130,668.96, 180,256.68 and 76,951.38

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Solution

The fourth proportional to 130,668.96, 180,256.68 and 76,951.38 is: 106,153.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,668.96 : 180,256.68 = 76,951.38 : x
  2. Step 2: Convert to fraction form
    130,668.96/180,256.68 = 76,951.38/x
  3. Step 3: Cross multiply
    130,668.96x = 180,256.68 × 76,951.38
  4. Step 4: Simplify right side
    130,668.96x = 13,871,000,280.22
  5. Step 5: Solve for x
    x = 13,871,000,280.22/130,668.96
  6. Step 6: Final answer
    x = 106,153.75

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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.