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Finding the Fourth Proportional to 459,967.36, 689,902.50 and 123,042.03

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Solution

The fourth proportional to 459,967.36, 689,902.50 and 123,042.03 is: 184,550.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,967.36 : 689,902.50 = 123,042.03 : x
  2. Step 2: Convert to fraction form
    459,967.36/689,902.50 = 123,042.03/x
  3. Step 3: Cross multiply
    459,967.36x = 689,902.50 × 123,042.03
  4. Step 4: Simplify right side
    459,967.36x = 84,887,004,102.08
  5. Step 5: Solve for x
    x = 84,887,004,102.08/459,967.36
  6. Step 6: Final answer
    x = 184,550.06

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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.