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Finding the Fourth Proportional to 212,497.34, 293,246.64 and 117,004.32

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Solution

The fourth proportional to 212,497.34, 293,246.64 and 117,004.32 is: 161,466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,497.34 : 293,246.64 = 117,004.32 : x
  2. Step 2: Convert to fraction form
    212,497.34/293,246.64 = 117,004.32/x
  3. Step 3: Cross multiply
    212,497.34x = 293,246.64 × 117,004.32
  4. Step 4: Simplify right side
    212,497.34x = 34,311,123,705.48
  5. Step 5: Solve for x
    x = 34,311,123,705.48/212,497.34
  6. Step 6: Final answer
    x = 161,466.14

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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.