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Finding the Fourth Proportional to 211,160.70, 316,787.81 and 116,342.06

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Solution

The fourth proportional to 211,160.70, 316,787.81 and 116,342.06 is: 174,538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,160.70 : 316,787.81 = 116,342.06 : x
  2. Step 2: Convert to fraction form
    211,160.70/316,787.81 = 116,342.06/x
  3. Step 3: Cross multiply
    211,160.70x = 316,787.81 × 116,342.06
  4. Step 4: Simplify right side
    211,160.70x = 36,855,744,232.64
  5. Step 5: Solve for x
    x = 36,855,744,232.64/211,160.70
  6. Step 6: Final answer
    x = 174,538.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.