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Finding the Fourth Proportional to 193,253.65, 289,963.08 and 99,825.01

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Solution

The fourth proportional to 193,253.65, 289,963.08 and 99,825.01 is: 149,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,253.65 : 289,963.08 = 99,825.01 : x
  2. Step 2: Convert to fraction form
    193,253.65/289,963.08 = 99,825.01/x
  3. Step 3: Cross multiply
    193,253.65x = 289,963.08 × 99,825.01
  4. Step 4: Simplify right side
    193,253.65x = 28,945,566,635.72
  5. Step 5: Solve for x
    x = 28,945,566,635.72/193,253.65
  6. Step 6: Final answer
    x = 149,780.18

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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.