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Finding the Fourth Proportional to 210,852.46, 290,947.68 and 125,951.50

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Solution

The fourth proportional to 210,852.46, 290,947.68 and 125,951.50 is: 173,795.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,852.46 : 290,947.68 = 125,951.50 : x
  2. Step 2: Convert to fraction form
    210,852.46/290,947.68 = 125,951.50/x
  3. Step 3: Cross multiply
    210,852.46x = 290,947.68 × 125,951.50
  4. Step 4: Simplify right side
    210,852.46x = 36,645,296,717.52
  5. Step 5: Solve for x
    x = 36,645,296,717.52/210,852.46
  6. Step 6: Final answer
    x = 173,795.92

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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.