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Finding the Fourth Proportional to 269,513.10, 403,492.05 and 164,537.10

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Solution

The fourth proportional to 269,513.10, 403,492.05 and 164,537.10 is: 246,330.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,513.10 : 403,492.05 = 164,537.10 : x
  2. Step 2: Convert to fraction form
    269,513.10/403,492.05 = 164,537.10/x
  3. Step 3: Cross multiply
    269,513.10x = 403,492.05 × 164,537.10
  4. Step 4: Simplify right side
    269,513.10x = 66,389,411,780.06
  5. Step 5: Solve for x
    x = 66,389,411,780.06/269,513.10
  6. Step 6: Final answer
    x = 246,330.93

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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.