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Finding the Fourth Proportional to 130,405.40, 180,002.22 and 76,687.82

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Solution

The fourth proportional to 130,405.40, 180,002.22 and 76,687.82 is: 105,854.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,405.40 : 180,002.22 = 76,687.82 : x
  2. Step 2: Convert to fraction form
    130,405.40/180,002.22 = 76,687.82/x
  3. Step 3: Cross multiply
    130,405.40x = 180,002.22 × 76,687.82
  4. Step 4: Simplify right side
    130,405.40x = 13,803,977,846.96
  5. Step 5: Solve for x
    x = 13,803,977,846.96/130,405.40
  6. Step 6: Final answer
    x = 105,854.34

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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.