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Finding the Fourth Proportional to 219,536.16, 329,352.84 and 69,822.24

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Solution

The fourth proportional to 219,536.16, 329,352.84 and 69,822.24 is: 104,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,536.16 : 329,352.84 = 69,822.24 : x
  2. Step 2: Convert to fraction form
    219,536.16/329,352.84 = 69,822.24/x
  3. Step 3: Cross multiply
    219,536.16x = 329,352.84 × 69,822.24
  4. Step 4: Simplify right side
    219,536.16x = 22,996,153,039.16
  5. Step 5: Solve for x
    x = 22,996,153,039.16/219,536.16
  6. Step 6: Final answer
    x = 104,748.82

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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.