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Finding the Fourth Proportional to 176,139.74, 264,238.95 and 57,779.30

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Solution

The fourth proportional to 176,139.74, 264,238.95 and 57,779.30 is: 86,678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,139.74 : 264,238.95 = 57,779.30 : x
  2. Step 2: Convert to fraction form
    176,139.74/264,238.95 = 57,779.30/x
  3. Step 3: Cross multiply
    176,139.74x = 264,238.95 × 57,779.30
  4. Step 4: Simplify right side
    176,139.74x = 15,267,541,563.74
  5. Step 5: Solve for x
    x = 15,267,541,563.74/176,139.74
  6. Step 6: Final answer
    x = 86,678.57

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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.