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Finding the Fourth Proportional to 205,113.40, 307,497.30 and 106,617.40

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Solution

The fourth proportional to 205,113.40, 307,497.30 and 106,617.40 is: 159,836.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,113.40 : 307,497.30 = 106,617.40 : x
  2. Step 2: Convert to fraction form
    205,113.40/307,497.30 = 106,617.40/x
  3. Step 3: Cross multiply
    205,113.40x = 307,497.30 × 106,617.40
  4. Step 4: Simplify right side
    205,113.40x = 32,784,562,633.02
  5. Step 5: Solve for x
    x = 32,784,562,633.02/205,113.40
  6. Step 6: Final answer
    x = 159,836.28

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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.