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Finding the Fourth Proportional to 130,745.60, 180,432 and 71,133.44

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Solution

The fourth proportional to 130,745.60, 180,432 and 71,133.44 is: 98,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,745.60 : 180,432 = 71,133.44 : x
  2. Step 2: Convert to fraction form
    130,745.60/180,432 = 71,133.44/x
  3. Step 3: Cross multiply
    130,745.60x = 180,432 × 71,133.44
  4. Step 4: Simplify right side
    130,745.60x = 12,834,748,846.08
  5. Step 5: Solve for x
    x = 12,834,748,846.08/130,745.60
  6. Step 6: Final answer
    x = 98,165.82

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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.