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Finding the Fourth Proportional to 269,078.10, 402,839.55 and 164,102.10

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Solution

The fourth proportional to 269,078.10, 402,839.55 and 164,102.10 is: 245,678.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,078.10 : 402,839.55 = 164,102.10 : x
  2. Step 2: Convert to fraction form
    269,078.10/402,839.55 = 164,102.10/x
  3. Step 3: Cross multiply
    269,078.10x = 402,839.55 × 164,102.10
  4. Step 4: Simplify right side
    269,078.10x = 66,106,816,118.06
  5. Step 5: Solve for x
    x = 66,106,816,118.06/269,078.10
  6. Step 6: Final answer
    x = 245,678.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.