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Finding the Fourth Proportional to 264,078.63, 364,475.09 and 156,707.87

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Solution

The fourth proportional to 264,078.63, 364,475.09 and 156,707.87 is: 216,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,078.63 : 364,475.09 = 156,707.87 : x
  2. Step 2: Convert to fraction form
    264,078.63/364,475.09 = 156,707.87/x
  3. Step 3: Cross multiply
    264,078.63x = 364,475.09 × 156,707.87
  4. Step 4: Simplify right side
    264,078.63x = 57,116,113,591.35
  5. Step 5: Solve for x
    x = 57,116,113,591.35/264,078.63
  6. Step 6: Final answer
    x = 216,284.50

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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.