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Finding the Fourth Proportional to 212,380.71, 293,085.38 and 116,887.40

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Solution

The fourth proportional to 212,380.71, 293,085.38 and 116,887.40 is: 161,304.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,380.71 : 293,085.38 = 116,887.40 : x
  2. Step 2: Convert to fraction form
    212,380.71/293,085.38 = 116,887.40/x
  3. Step 3: Cross multiply
    212,380.71x = 293,085.38 × 116,887.40
  4. Step 4: Simplify right side
    212,380.71x = 34,257,988,798.81
  5. Step 5: Solve for x
    x = 34,257,988,798.81/212,380.71
  6. Step 6: Final answer
    x = 161,304.62

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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.