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Finding the Fourth Proportional to 193,253.12, 289,866.72 and 53,000

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Solution

The fourth proportional to 193,253.12, 289,866.72 and 53,000 is: 79,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,253.12 : 289,866.72 = 53,000 : x
  2. Step 2: Convert to fraction form
    193,253.12/289,866.72 = 53,000/x
  3. Step 3: Cross multiply
    193,253.12x = 289,866.72 × 53,000
  4. Step 4: Simplify right side
    193,253.12x = 15,362,936,160.00
  5. Step 5: Solve for x
    x = 15,362,936,160.00/193,253.12
  6. Step 6: Final answer
    x = 79,496.45

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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.