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Finding the Fourth Proportional to 176,012.76, 264,139.44 and 97,182.36

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Solution

The fourth proportional to 176,012.76, 264,139.44 and 97,182.36 is: 145,839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,012.76 : 264,139.44 = 97,182.36 : x
  2. Step 2: Convert to fraction form
    176,012.76/264,139.44 = 97,182.36/x
  3. Step 3: Cross multiply
    176,012.76x = 264,139.44 × 97,182.36
  4. Step 4: Simplify right side
    176,012.76x = 25,669,694,148.28
  5. Step 5: Solve for x
    x = 25,669,694,148.28/176,012.76
  6. Step 6: Final answer
    x = 145,839.96

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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.