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Finding the Fourth Proportional to 212,636.73, 293,439.38 and 117,143.13

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Solution

The fourth proportional to 212,636.73, 293,439.38 and 117,143.13 is: 161,657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,636.73 : 293,439.38 = 117,143.13 : x
  2. Step 2: Convert to fraction form
    212,636.73/293,439.38 = 117,143.13/x
  3. Step 3: Cross multiply
    212,636.73x = 293,439.38 × 117,143.13
  4. Step 4: Simplify right side
    212,636.73x = 34,374,406,852.74
  5. Step 5: Solve for x
    x = 34,374,406,852.74/212,636.73
  6. Step 6: Final answer
    x = 161,657.90

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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.