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Finding the Fourth Proportional to 202,497.49, 279,461.82 and 116,482.78

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Solution

The fourth proportional to 202,497.49, 279,461.82 and 116,482.78 is: 160,755.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,497.49 : 279,461.82 = 116,482.78 : x
  2. Step 2: Convert to fraction form
    202,497.49/279,461.82 = 116,482.78/x
  3. Step 3: Cross multiply
    202,497.49x = 279,461.82 × 116,482.78
  4. Step 4: Simplify right side
    202,497.49x = 32,552,489,697.46
  5. Step 5: Solve for x
    x = 32,552,489,697.46/202,497.49
  6. Step 6: Final answer
    x = 160,755.03

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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.