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Finding the Fourth Proportional to 219,745.24, 328,995.24 and 144,639.52

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Solution

The fourth proportional to 219,745.24, 328,995.24 and 144,639.52 is: 216,549.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,745.24 : 328,995.24 = 144,639.52 : x
  2. Step 2: Convert to fraction form
    219,745.24/328,995.24 = 144,639.52/x
  3. Step 3: Cross multiply
    219,745.24x = 328,995.24 × 144,639.52
  4. Step 4: Simplify right side
    219,745.24x = 47,585,713,595.88
  5. Step 5: Solve for x
    x = 47,585,713,595.88/219,745.24
  6. Step 6: Final answer
    x = 216,549.46

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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.