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Finding the Fourth Proportional to 459,967.22, 689,902.26 and 123,041.87

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Solution

The fourth proportional to 459,967.22, 689,902.26 and 123,041.87 is: 184,549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,967.22 : 689,902.26 = 123,041.87 : x
  2. Step 2: Convert to fraction form
    459,967.22/689,902.26 = 123,041.87/x
  3. Step 3: Cross multiply
    459,967.22x = 689,902.26 × 123,041.87
  4. Step 4: Simplify right side
    459,967.22x = 84,886,860,738.11
  5. Step 5: Solve for x
    x = 84,886,860,738.11/459,967.22
  6. Step 6: Final answer
    x = 184,549.81

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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.