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Finding the Fourth Proportional to 219,720.10, 329,580.15 and 101,356.42

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Solution

The fourth proportional to 219,720.10, 329,580.15 and 101,356.42 is: 152,034.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,720.10 : 329,580.15 = 101,356.42 : x
  2. Step 2: Convert to fraction form
    219,720.10/329,580.15 = 101,356.42/x
  3. Step 3: Cross multiply
    219,720.10x = 329,580.15 × 101,356.42
  4. Step 4: Simplify right side
    219,720.10x = 33,405,064,107.06
  5. Step 5: Solve for x
    x = 33,405,064,107.06/219,720.10
  6. Step 6: Final answer
    x = 152,034.63

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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.