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Finding the Fourth Proportional to 193,247.70, 289,871.55 and 53,006.10

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Solution

The fourth proportional to 193,247.70, 289,871.55 and 53,006.10 is: 79,509.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,247.70 : 289,871.55 = 53,006.10 : x
  2. Step 2: Convert to fraction form
    193,247.70/289,871.55 = 53,006.10/x
  3. Step 3: Cross multiply
    193,247.70x = 289,871.55 × 53,006.10
  4. Step 4: Simplify right side
    193,247.70x = 15,364,960,366.46
  5. Step 5: Solve for x
    x = 15,364,960,366.46/193,247.70
  6. Step 6: Final answer
    x = 79,509.15

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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.