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Finding the Fourth Proportional to 131,852.59, 197,757 and 47,596.59

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Solution

The fourth proportional to 131,852.59, 197,757 and 47,596.59 is: 71,386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,852.59 : 197,757 = 47,596.59 : x
  2. Step 2: Convert to fraction form
    131,852.59/197,757 = 47,596.59/x
  3. Step 3: Cross multiply
    131,852.59x = 197,757 × 47,596.59
  4. Step 4: Simplify right side
    131,852.59x = 9,412,558,848.63
  5. Step 5: Solve for x
    x = 9,412,558,848.63/131,852.59
  6. Step 6: Final answer
    x = 71,386.98

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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.