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Finding the Fourth Proportional to 120,465.40, 180,698.10 and 89,361.40

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Solution

The fourth proportional to 120,465.40, 180,698.10 and 89,361.40 is: 134,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,465.40 : 180,698.10 = 89,361.40 : x
  2. Step 2: Convert to fraction form
    120,465.40/180,698.10 = 89,361.40/x
  3. Step 3: Cross multiply
    120,465.40x = 180,698.10 × 89,361.40
  4. Step 4: Simplify right side
    120,465.40x = 16,147,435,193.34
  5. Step 5: Solve for x
    x = 16,147,435,193.34/120,465.40
  6. Step 6: Final answer
    x = 134,042.10

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1.5x scale

Why These Related Problems?

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