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Finding the Fourth Proportional to 219,641.10, 329,826.03 and 137,059.98

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Solution

The fourth proportional to 219,641.10, 329,826.03 and 137,059.98 is: 205,817.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,641.10 : 329,826.03 = 137,059.98 : x
  2. Step 2: Convert to fraction form
    219,641.10/329,826.03 = 137,059.98/x
  3. Step 3: Cross multiply
    219,641.10x = 329,826.03 × 137,059.98
  4. Step 4: Simplify right side
    219,641.10x = 45,205,949,075.28
  5. Step 5: Solve for x
    x = 45,205,949,075.28/219,641.10
  6. Step 6: Final answer
    x = 205,817.35

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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.