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Finding the Fourth Proportional to 210,732.28, 290,916.30 and 162,877.48

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Solution

The fourth proportional to 210,732.28, 290,916.30 and 162,877.48 is: 224,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,732.28 : 290,916.30 = 162,877.48 : x
  2. Step 2: Convert to fraction form
    210,732.28/290,916.30 = 162,877.48/x
  3. Step 3: Cross multiply
    210,732.28x = 290,916.30 × 162,877.48
  4. Step 4: Simplify right side
    210,732.28x = 47,383,713,834.92
  5. Step 5: Solve for x
    x = 47,383,713,834.92/210,732.28
  6. Step 6: Final answer
    x = 224,852.66

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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.