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Finding the Fourth Proportional to 130,686.41, 180,280.76 and 85,390.88

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Solution

The fourth proportional to 130,686.41, 180,280.76 and 85,390.88 is: 117,795.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,686.41 : 180,280.76 = 85,390.88 : x
  2. Step 2: Convert to fraction form
    130,686.41/180,280.76 = 85,390.88/x
  3. Step 3: Cross multiply
    130,686.41x = 180,280.76 × 85,390.88
  4. Step 4: Simplify right side
    130,686.41x = 15,394,331,415.11
  5. Step 5: Solve for x
    x = 15,394,331,415.11/130,686.41
  6. Step 6: Final answer
    x = 117,795.96

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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.