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Finding the Fourth Proportional to 136,826.40, 205,219.08 and 43,320

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Solution

The fourth proportional to 136,826.40, 205,219.08 and 43,320 is: 64,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,826.40 : 205,219.08 = 43,320 : x
  2. Step 2: Convert to fraction form
    136,826.40/205,219.08 = 43,320/x
  3. Step 3: Cross multiply
    136,826.40x = 205,219.08 × 43,320
  4. Step 4: Simplify right side
    136,826.40x = 8,890,090,545.60
  5. Step 5: Solve for x
    x = 8,890,090,545.60/136,826.40
  6. Step 6: Final answer
    x = 64,973.50

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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.