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Finding the Fourth Proportional to 200,814.60, 301,239.99 and 88,468.14

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Solution

The fourth proportional to 200,814.60, 301,239.99 and 88,468.14 is: 132,710.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,814.60 : 301,239.99 = 88,468.14 : x
  2. Step 2: Convert to fraction form
    200,814.60/301,239.99 = 88,468.14/x
  3. Step 3: Cross multiply
    200,814.60x = 301,239.99 × 88,468.14
  4. Step 4: Simplify right side
    200,814.60x = 26,650,141,608.92
  5. Step 5: Solve for x
    x = 26,650,141,608.92/200,814.60
  6. Step 6: Final answer
    x = 132,710.18

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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.