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Finding the Fourth Proportional to 268,404.84, 402,507.63 and 78,813

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Solution

The fourth proportional to 268,404.84, 402,507.63 and 78,813 is: 118,190.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,404.84 : 402,507.63 = 78,813 : x
  2. Step 2: Convert to fraction form
    268,404.84/402,507.63 = 78,813/x
  3. Step 3: Cross multiply
    268,404.84x = 402,507.63 × 78,813
  4. Step 4: Simplify right side
    268,404.84x = 31,722,833,843.19
  5. Step 5: Solve for x
    x = 31,722,833,843.19/268,404.84
  6. Step 6: Final answer
    x = 118,190.25

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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.