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Finding the Fourth Proportional to 510,492.89, 765,739.29 and 136,506.17

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Solution

The fourth proportional to 510,492.89, 765,739.29 and 136,506.17 is: 204,759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,492.89 : 765,739.29 = 136,506.17 : x
  2. Step 2: Convert to fraction form
    510,492.89/765,739.29 = 136,506.17/x
  3. Step 3: Cross multiply
    510,492.89x = 765,739.29 × 136,506.17
  4. Step 4: Simplify right side
    510,492.89x = 104,528,137,696.42
  5. Step 5: Solve for x
    x = 104,528,137,696.42/510,492.89
  6. Step 6: Final answer
    x = 204,759.24

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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.