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Finding the Fourth Proportional to 268,056.63, 369,903.65 and 147,213.81

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Solution

The fourth proportional to 268,056.63, 369,903.65 and 147,213.81 is: 203,147.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,056.63 : 369,903.65 = 147,213.81 : x
  2. Step 2: Convert to fraction form
    268,056.63/369,903.65 = 147,213.81/x
  3. Step 3: Cross multiply
    268,056.63x = 369,903.65 × 147,213.81
  4. Step 4: Simplify right side
    268,056.63x = 54,454,924,913.34
  5. Step 5: Solve for x
    x = 54,454,924,913.34/268,056.63
  6. Step 6: Final answer
    x = 203,147.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.