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Finding the Fourth Proportional to 161,312.82, 242,018.46 and 82,482.42

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Solution

The fourth proportional to 161,312.82, 242,018.46 and 82,482.42 is: 123,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,312.82 : 242,018.46 = 82,482.42 : x
  2. Step 2: Convert to fraction form
    161,312.82/242,018.46 = 82,482.42/x
  3. Step 3: Cross multiply
    161,312.82x = 242,018.46 × 82,482.42
  4. Step 4: Simplify right side
    161,312.82x = 19,962,268,265.47
  5. Step 5: Solve for x
    x = 19,962,268,265.47/161,312.82
  6. Step 6: Final answer
    x = 123,748.80

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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.