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Finding the Fourth Proportional to 300,036.29, 414,043.83 and 164,068.70

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Solution

The fourth proportional to 300,036.29, 414,043.83 and 164,068.70 is: 226,411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,036.29 : 414,043.83 = 164,068.70 : x
  2. Step 2: Convert to fraction form
    300,036.29/414,043.83 = 164,068.70/x
  3. Step 3: Cross multiply
    300,036.29x = 414,043.83 × 164,068.70
  4. Step 4: Simplify right side
    300,036.29x = 67,931,630,860.90
  5. Step 5: Solve for x
    x = 67,931,630,860.90/300,036.29
  6. Step 6: Final answer
    x = 226,411.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.