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Finding the Fourth Proportional to 130,512, 180,091.28 and 76,785.20

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Solution

The fourth proportional to 130,512, 180,091.28 and 76,785.20 is: 105,954.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,512 : 180,091.28 = 76,785.20 : x
  2. Step 2: Convert to fraction form
    130,512/180,091.28 = 76,785.20/x
  3. Step 3: Cross multiply
    130,512x = 180,091.28 × 76,785.20
  4. Step 4: Simplify right side
    130,512x = 13,828,344,953.06
  5. Step 5: Solve for x
    x = 13,828,344,953.06/130,512
  6. Step 6: Final answer
    x = 105,954.59

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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.