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Finding the Fourth Proportional to 264,322.40, 364,765.41 and 156,913.97

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Solution

The fourth proportional to 264,322.40, 364,765.41 and 156,913.97 is: 216,541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,322.40 : 364,765.41 = 156,913.97 : x
  2. Step 2: Convert to fraction form
    264,322.40/364,765.41 = 156,913.97/x
  3. Step 3: Cross multiply
    264,322.40x = 364,765.41 × 156,913.97
  4. Step 4: Simplify right side
    264,322.40x = 57,236,786,777.95
  5. Step 5: Solve for x
    x = 57,236,786,777.95/264,322.40
  6. Step 6: Final answer
    x = 216,541.57

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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.