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Finding the Fourth Proportional to 212,553, 293,323.14 and 117,059.52

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Solution

The fourth proportional to 212,553, 293,323.14 and 117,059.52 is: 161,542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,553 : 293,323.14 = 117,059.52 : x
  2. Step 2: Convert to fraction form
    212,553/293,323.14 = 117,059.52/x
  3. Step 3: Cross multiply
    212,553x = 293,323.14 × 117,059.52
  4. Step 4: Simplify right side
    212,553x = 34,336,265,973.29
  5. Step 5: Solve for x
    x = 34,336,265,973.29/212,553
  6. Step 6: Final answer
    x = 161,542.14

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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.