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Finding the Fourth Proportional to 254,862.60, 382,196.70 and 77,310.60

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Solution

The fourth proportional to 254,862.60, 382,196.70 and 77,310.60 is: 115,936.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,862.60 : 382,196.70 = 77,310.60 : x
  2. Step 2: Convert to fraction form
    254,862.60/382,196.70 = 77,310.60/x
  3. Step 3: Cross multiply
    254,862.60x = 382,196.70 × 77,310.60
  4. Step 4: Simplify right side
    254,862.60x = 29,547,856,195.02
  5. Step 5: Solve for x
    x = 29,547,856,195.02/254,862.60
  6. Step 6: Final answer
    x = 115,936.42

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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.