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Finding the Fourth Proportional to 303,101, 418,422.85 and 175,730.12

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Solution

The fourth proportional to 303,101, 418,422.85 and 175,730.12 is: 242,590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,101 : 418,422.85 = 175,730.12 : x
  2. Step 2: Convert to fraction form
    303,101/418,422.85 = 175,730.12/x
  3. Step 3: Cross multiply
    303,101x = 418,422.85 × 175,730.12
  4. Step 4: Simplify right side
    303,101x = 73,529,497,641.24
  5. Step 5: Solve for x
    x = 73,529,497,641.24/303,101
  6. Step 6: Final answer
    x = 242,590.75

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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.