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Finding the Fourth Proportional to 136,274, 204,411.54 and 37,778

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Solution

The fourth proportional to 136,274, 204,411.54 and 37,778 is: 56,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,274 : 204,411.54 = 37,778 : x
  2. Step 2: Convert to fraction form
    136,274/204,411.54 = 37,778/x
  3. Step 3: Cross multiply
    136,274x = 204,411.54 × 37,778
  4. Step 4: Simplify right side
    136,274x = 7,722,259,158.12
  5. Step 5: Solve for x
    x = 7,722,259,158.12/136,274
  6. Step 6: Final answer
    x = 56,667.15

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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.