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Finding the Fourth Proportional to 176,378.38, 243,308.86 and 111,733.56

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Solution

The fourth proportional to 176,378.38, 243,308.86 and 111,733.56 is: 154,133.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,378.38 : 243,308.86 = 111,733.56 : x
  2. Step 2: Convert to fraction form
    176,378.38/243,308.86 = 111,733.56/x
  3. Step 3: Cross multiply
    176,378.38x = 243,308.86 × 111,733.56
  4. Step 4: Simplify right side
    176,378.38x = 27,185,764,828.01
  5. Step 5: Solve for x
    x = 27,185,764,828.01/176,378.38
  6. Step 6: Final answer
    x = 154,133.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.