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Finding the Fourth Proportional to 176,097.20, 264,145.80 and 51,438.20

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Solution

The fourth proportional to 176,097.20, 264,145.80 and 51,438.20 is: 77,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,097.20 : 264,145.80 = 51,438.20 : x
  2. Step 2: Convert to fraction form
    176,097.20/264,145.80 = 51,438.20/x
  3. Step 3: Cross multiply
    176,097.20x = 264,145.80 × 51,438.20
  4. Step 4: Simplify right side
    176,097.20x = 13,587,184,489.56
  5. Step 5: Solve for x
    x = 13,587,184,489.56/176,097.20
  6. Step 6: Final answer
    x = 77,157.30

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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.