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Finding the Fourth Proportional to 212,468.82, 293,204.76 and 116,973.60

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Solution

The fourth proportional to 212,468.82, 293,204.76 and 116,973.60 is: 161,422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,468.82 : 293,204.76 = 116,973.60 : x
  2. Step 2: Convert to fraction form
    212,468.82/293,204.76 = 116,973.60/x
  3. Step 3: Cross multiply
    212,468.82x = 293,204.76 × 116,973.60
  4. Step 4: Simplify right side
    212,468.82x = 34,297,216,314.34
  5. Step 5: Solve for x
    x = 34,297,216,314.34/212,468.82
  6. Step 6: Final answer
    x = 161,422.35

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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.