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Finding the Fourth Proportional to 144,814.40, 199,835.64 and 84,394.88

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Solution

The fourth proportional to 144,814.40, 199,835.64 and 84,394.88 is: 116,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,814.40 : 199,835.64 = 84,394.88 : x
  2. Step 2: Convert to fraction form
    144,814.40/199,835.64 = 84,394.88/x
  3. Step 3: Cross multiply
    144,814.40x = 199,835.64 × 84,394.88
  4. Step 4: Simplify right side
    144,814.40x = 16,865,104,857.52
  5. Step 5: Solve for x
    x = 16,865,104,857.52/144,814.40
  6. Step 6: Final answer
    x = 116,460.14

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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.