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Finding the Fourth Proportional to 103,664.96, 155,308.80 and 72,008.14

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Solution

The fourth proportional to 103,664.96, 155,308.80 and 72,008.14 is: 107,881.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,664.96 : 155,308.80 = 72,008.14 : x
  2. Step 2: Convert to fraction form
    103,664.96/155,308.80 = 72,008.14/x
  3. Step 3: Cross multiply
    103,664.96x = 155,308.80 × 72,008.14
  4. Step 4: Simplify right side
    103,664.96x = 11,183,497,813.63
  5. Step 5: Solve for x
    x = 11,183,497,813.63/103,664.96
  6. Step 6: Final answer
    x = 107,881.18

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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.