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Finding the Fourth Proportional to 176,139.20, 264,208.80 and 57,814.40

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Solution

The fourth proportional to 176,139.20, 264,208.80 and 57,814.40 is: 86,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,139.20 : 264,208.80 = 57,814.40 : x
  2. Step 2: Convert to fraction form
    176,139.20/264,208.80 = 57,814.40/x
  3. Step 3: Cross multiply
    176,139.20x = 264,208.80 × 57,814.40
  4. Step 4: Simplify right side
    176,139.20x = 15,275,073,246.72
  5. Step 5: Solve for x
    x = 15,275,073,246.72/176,139.20
  6. Step 6: Final answer
    x = 86,721.60

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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.