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Finding the Fourth Proportional to 219,402, 329,104.08 and 53,190

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Solution

The fourth proportional to 219,402, 329,104.08 and 53,190 is: 79,785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,402 : 329,104.08 = 53,190 : x
  2. Step 2: Convert to fraction form
    219,402/329,104.08 = 53,190/x
  3. Step 3: Cross multiply
    219,402x = 329,104.08 × 53,190
  4. Step 4: Simplify right side
    219,402x = 17,505,046,015.20
  5. Step 5: Solve for x
    x = 17,505,046,015.20/219,402
  6. Step 6: Final answer
    x = 79,785.26

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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.