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Finding the Fourth Proportional to 252,274.68, 377,983.80 and 152,224.64

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Solution

The fourth proportional to 252,274.68, 377,983.80 and 152,224.64 is: 228,078.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,274.68 : 377,983.80 = 152,224.64 : x
  2. Step 2: Convert to fraction form
    252,274.68/377,983.80 = 152,224.64/x
  3. Step 3: Cross multiply
    252,274.68x = 377,983.80 × 152,224.64
  4. Step 4: Simplify right side
    252,274.68x = 57,538,447,119.71
  5. Step 5: Solve for x
    x = 57,538,447,119.71/252,274.68
  6. Step 6: Final answer
    x = 228,078.57

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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.