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Finding the Fourth Proportional to 137,191.76, 205,795.64 and 52,952.36

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Solution

The fourth proportional to 137,191.76, 205,795.64 and 52,952.36 is: 79,431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,191.76 : 205,795.64 = 52,952.36 : x
  2. Step 2: Convert to fraction form
    137,191.76/205,795.64 = 52,952.36/x
  3. Step 3: Cross multiply
    137,191.76x = 205,795.64 × 52,952.36
  4. Step 4: Simplify right side
    137,191.76x = 10,897,364,815.71
  5. Step 5: Solve for x
    x = 10,897,364,815.71/137,191.76
  6. Step 6: Final answer
    x = 79,431.63

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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.