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Finding the Fourth Proportional to 212,511.74, 293,260.50 and 117,019.22

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Solution

The fourth proportional to 212,511.74, 293,260.50 and 117,019.22 is: 161,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,511.74 : 293,260.50 = 117,019.22 : x
  2. Step 2: Convert to fraction form
    212,511.74/293,260.50 = 117,019.22/x
  3. Step 3: Cross multiply
    212,511.74x = 293,260.50 × 117,019.22
  4. Step 4: Simplify right side
    212,511.74x = 34,317,114,966.81
  5. Step 5: Solve for x
    x = 34,317,114,966.81/212,511.74
  6. Step 6: Final answer
    x = 161,483.38

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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.