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Finding the Fourth Proportional to 269,077.10, 402,838.05 and 164,101.10

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Solution

The fourth proportional to 269,077.10, 402,838.05 and 164,101.10 is: 245,677.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,077.10 : 402,838.05 = 164,101.10 : x
  2. Step 2: Convert to fraction form
    269,077.10/402,838.05 = 164,101.10/x
  3. Step 3: Cross multiply
    269,077.10x = 402,838.05 × 164,101.10
  4. Step 4: Simplify right side
    269,077.10x = 66,106,167,126.86
  5. Step 5: Solve for x
    x = 66,106,167,126.86/269,077.10
  6. Step 6: Final answer
    x = 245,677.42

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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.