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Finding the Fourth Proportional to 224,072, 309,225.84 and 123,476.48

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Solution

The fourth proportional to 224,072, 309,225.84 and 123,476.48 is: 170,401.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,072 : 309,225.84 = 123,476.48 : x
  2. Step 2: Convert to fraction form
    224,072/309,225.84 = 123,476.48/x
  3. Step 3: Cross multiply
    224,072x = 309,225.84 × 123,476.48
  4. Step 4: Simplify right side
    224,072x = 38,182,118,248.24
  5. Step 5: Solve for x
    x = 38,182,118,248.24/224,072
  6. Step 6: Final answer
    x = 170,401.11

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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.