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Finding the Fourth Proportional to 212,398.22, 293,109.64 and 116,904.24

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Solution

The fourth proportional to 212,398.22, 293,109.64 and 116,904.24 is: 161,327.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,398.22 : 293,109.64 = 116,904.24 : x
  2. Step 2: Convert to fraction form
    212,398.22/293,109.64 = 116,904.24/x
  3. Step 3: Cross multiply
    212,398.22x = 293,109.64 × 116,904.24
  4. Step 4: Simplify right side
    212,398.22x = 34,265,759,408.61
  5. Step 5: Solve for x
    x = 34,265,759,408.61/212,398.22
  6. Step 6: Final answer
    x = 161,327.90

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1.5x scale

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.