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Finding the Fourth Proportional to 211,342.14, 316,835.52 and 98,963.14

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Solution

The fourth proportional to 211,342.14, 316,835.52 and 98,963.14 is: 148,361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,342.14 : 316,835.52 = 98,963.14 : x
  2. Step 2: Convert to fraction form
    211,342.14/316,835.52 = 98,963.14/x
  3. Step 3: Cross multiply
    211,342.14x = 316,835.52 × 98,963.14
  4. Step 4: Simplify right side
    211,342.14x = 31,355,037,922.73
  5. Step 5: Solve for x
    x = 31,355,037,922.73/211,342.14
  6. Step 6: Final answer
    x = 148,361.50

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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.