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Finding the Fourth Proportional to 120,664.59, 180,701.50 and 85,038.35

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Solution

The fourth proportional to 120,664.59, 180,701.50 and 85,038.35 is: 127,349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,664.59 : 180,701.50 = 85,038.35 : x
  2. Step 2: Convert to fraction form
    120,664.59/180,701.50 = 85,038.35/x
  3. Step 3: Cross multiply
    120,664.59x = 180,701.50 × 85,038.35
  4. Step 4: Simplify right side
    120,664.59x = 15,366,556,977.33
  5. Step 5: Solve for x
    x = 15,366,556,977.33/120,664.59
  6. Step 6: Final answer
    x = 127,349.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.