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Finding the Fourth Proportional to 219,161.94, 328,478.42 and 106,673.60

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Solution

The fourth proportional to 219,161.94, 328,478.42 and 106,673.60 is: 159,881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,161.94 : 328,478.42 = 106,673.60 : x
  2. Step 2: Convert to fraction form
    219,161.94/328,478.42 = 106,673.60/x
  3. Step 3: Cross multiply
    219,161.94x = 328,478.42 × 106,673.60
  4. Step 4: Simplify right side
    219,161.94x = 35,039,973,407.95
  5. Step 5: Solve for x
    x = 35,039,973,407.95/219,161.94
  6. Step 6: Final answer
    x = 159,881.65

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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.