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Finding the Fourth Proportional to 120,740.68, 180,771.90 and 98,116.84

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Solution

The fourth proportional to 120,740.68, 180,771.90 and 98,116.84 is: 146,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,740.68 : 180,771.90 = 98,116.84 : x
  2. Step 2: Convert to fraction form
    120,740.68/180,771.90 = 98,116.84/x
  3. Step 3: Cross multiply
    120,740.68x = 180,771.90 × 98,116.84
  4. Step 4: Simplify right side
    120,740.68x = 17,736,767,588.80
  5. Step 5: Solve for x
    x = 17,736,767,588.80/120,740.68
  6. Step 6: Final answer
    x = 146,899.68

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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.