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Finding the Fourth Proportional to 176,137.60, 264,206.40 and 57,780.40

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Solution

The fourth proportional to 176,137.60, 264,206.40 and 57,780.40 is: 86,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,137.60 : 264,206.40 = 57,780.40 : x
  2. Step 2: Convert to fraction form
    176,137.60/264,206.40 = 57,780.40/x
  3. Step 3: Cross multiply
    176,137.60x = 264,206.40 × 57,780.40
  4. Step 4: Simplify right side
    176,137.60x = 15,265,951,474.56
  5. Step 5: Solve for x
    x = 15,265,951,474.56/176,137.60
  6. Step 6: Final answer
    x = 86,670.60

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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.