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Finding the Fourth Proportional to 136,830.40, 205,225.08 and 43,324

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Solution

The fourth proportional to 136,830.40, 205,225.08 and 43,324 is: 64,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,830.40 : 205,225.08 = 43,324 : x
  2. Step 2: Convert to fraction form
    136,830.40/205,225.08 = 43,324/x
  3. Step 3: Cross multiply
    136,830.40x = 205,225.08 × 43,324
  4. Step 4: Simplify right side
    136,830.40x = 8,891,171,365.92
  5. Step 5: Solve for x
    x = 8,891,171,365.92/136,830.40
  6. Step 6: Final answer
    x = 64,979.50

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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.