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Finding the Fourth Proportional to 176,305.60, 264,431.40 and 57,977.20

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Solution

The fourth proportional to 176,305.60, 264,431.40 and 57,977.20 is: 86,956.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,305.60 : 264,431.40 = 57,977.20 : x
  2. Step 2: Convert to fraction form
    176,305.60/264,431.40 = 57,977.20/x
  3. Step 3: Cross multiply
    176,305.60x = 264,431.40 × 57,977.20
  4. Step 4: Simplify right side
    176,305.60x = 15,330,992,164.08
  5. Step 5: Solve for x
    x = 15,330,992,164.08/176,305.60
  6. Step 6: Final answer
    x = 86,956.92

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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.