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Finding the Fourth Proportional to 120,467.40, 180,701.10 and 89,363.40

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Solution

The fourth proportional to 120,467.40, 180,701.10 and 89,363.40 is: 134,045.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,467.40 : 180,701.10 = 89,363.40 : x
  2. Step 2: Convert to fraction form
    120,467.40/180,701.10 = 89,363.40/x
  3. Step 3: Cross multiply
    120,467.40x = 180,701.10 × 89,363.40
  4. Step 4: Simplify right side
    120,467.40x = 16,148,064,679.74
  5. Step 5: Solve for x
    x = 16,148,064,679.74/120,467.40
  6. Step 6: Final answer
    x = 134,045.10

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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.