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Finding the Fourth Proportional to 120,410.40, 180,677.04 and 49,384.80

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Solution

The fourth proportional to 120,410.40, 180,677.04 and 49,384.80 is: 74,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,410.40 : 180,677.04 = 49,384.80 : x
  2. Step 2: Convert to fraction form
    120,410.40/180,677.04 = 49,384.80/x
  3. Step 3: Cross multiply
    120,410.40x = 180,677.04 × 49,384.80
  4. Step 4: Simplify right side
    120,410.40x = 8,922,699,484.99
  5. Step 5: Solve for x
    x = 8,922,699,484.99/120,410.40
  6. Step 6: Final answer
    x = 74,102.40

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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.