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Finding the Fourth Proportional to 194,739.32, 290,472.81 and 176,800.46

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Solution

The fourth proportional to 194,739.32, 290,472.81 and 176,800.46 is: 263,715.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,739.32 : 290,472.81 = 176,800.46 : x
  2. Step 2: Convert to fraction form
    194,739.32/290,472.81 = 176,800.46/x
  3. Step 3: Cross multiply
    194,739.32x = 290,472.81 × 176,800.46
  4. Step 4: Simplify right side
    194,739.32x = 51,355,725,541.49
  5. Step 5: Solve for x
    x = 51,355,725,541.49/194,739.32
  6. Step 6: Final answer
    x = 263,715.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.