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Finding the Fourth Proportional to 460,080.84, 690,130.44 and 123,120.96

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Solution

The fourth proportional to 460,080.84, 690,130.44 and 123,120.96 is: 184,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,080.84 : 690,130.44 = 123,120.96 : x
  2. Step 2: Convert to fraction form
    460,080.84/690,130.44 = 123,120.96/x
  3. Step 3: Cross multiply
    460,080.84x = 690,130.44 × 123,120.96
  4. Step 4: Simplify right side
    460,080.84x = 84,969,522,298.02
  5. Step 5: Solve for x
    x = 84,969,522,298.02/460,080.84
  6. Step 6: Final answer
    x = 184,683.90

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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.