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Finding the Fourth Proportional to 193,352, 289,994.56 and 51,199.32

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Solution

The fourth proportional to 193,352, 289,994.56 and 51,199.32 is: 76,790.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,352 : 289,994.56 = 51,199.32 : x
  2. Step 2: Convert to fraction form
    193,352/289,994.56 = 51,199.32/x
  3. Step 3: Cross multiply
    193,352x = 289,994.56 × 51,199.32
  4. Step 4: Simplify right side
    193,352x = 14,847,524,275.70
  5. Step 5: Solve for x
    x = 14,847,524,275.70/193,352
  6. Step 6: Final answer
    x = 76,790.13

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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.