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Finding the Fourth Proportional to 136,963.40, 205,428.90 and 37,117.40

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Solution

The fourth proportional to 136,963.40, 205,428.90 and 37,117.40 is: 55,671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,963.40 : 205,428.90 = 37,117.40 : x
  2. Step 2: Convert to fraction form
    136,963.40/205,428.90 = 37,117.40/x
  3. Step 3: Cross multiply
    136,963.40x = 205,428.90 × 37,117.40
  4. Step 4: Simplify right side
    136,963.40x = 7,624,986,652.86
  5. Step 5: Solve for x
    x = 7,624,986,652.86/136,963.40
  6. Step 6: Final answer
    x = 55,671.71

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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.