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Finding the Fourth Proportional to 164,002.30, 245,614.65 and 164,002.30

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Solution

The fourth proportional to 164,002.30, 245,614.65 and 164,002.30 is: 245,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,002.30 : 245,614.65 = 164,002.30 : x
  2. Step 2: Convert to fraction form
    164,002.30/245,614.65 = 164,002.30/x
  3. Step 3: Cross multiply
    164,002.30x = 245,614.65 × 164,002.30
  4. Step 4: Simplify right side
    164,002.30x = 40,281,367,513.70
  5. Step 5: Solve for x
    x = 40,281,367,513.70/164,002.30
  6. Step 6: Final answer
    x = 245,614.65

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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.