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Finding the Fourth Proportional to 212,531.92, 293,263.03 and 120,636.92

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Solution

The fourth proportional to 212,531.92, 293,263.03 and 120,636.92 is: 166,461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,531.92 : 293,263.03 = 120,636.92 : x
  2. Step 2: Convert to fraction form
    212,531.92/293,263.03 = 120,636.92/x
  3. Step 3: Cross multiply
    212,531.92x = 293,263.03 × 120,636.92
  4. Step 4: Simplify right side
    212,531.92x = 35,378,348,689.07
  5. Step 5: Solve for x
    x = 35,378,348,689.07/212,531.92
  6. Step 6: Final answer
    x = 166,461.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.