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Finding the Fourth Proportional to 175,411.98, 242,049.87 and 103,795.02

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Solution

The fourth proportional to 175,411.98, 242,049.87 and 103,795.02 is: 143,226.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,411.98 : 242,049.87 = 103,795.02 : x
  2. Step 2: Convert to fraction form
    175,411.98/242,049.87 = 103,795.02/x
  3. Step 3: Cross multiply
    175,411.98x = 242,049.87 × 103,795.02
  4. Step 4: Simplify right side
    175,411.98x = 25,123,571,097.65
  5. Step 5: Solve for x
    x = 25,123,571,097.65/175,411.98
  6. Step 6: Final answer
    x = 143,226.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.