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Finding the Fourth Proportional to 218,492.02, 301,524.72 and 123,002.20

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Solution

The fourth proportional to 218,492.02, 301,524.72 and 123,002.20 is: 169,746.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,492.02 : 301,524.72 = 123,002.20 : x
  2. Step 2: Convert to fraction form
    218,492.02/301,524.72 = 123,002.20/x
  3. Step 3: Cross multiply
    218,492.02x = 301,524.72 × 123,002.20
  4. Step 4: Simplify right side
    218,492.02x = 37,088,203,914.38
  5. Step 5: Solve for x
    x = 37,088,203,914.38/218,492.02
  6. Step 6: Final answer
    x = 169,746.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.