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Finding the Fourth Proportional to 106,000.20, 159,000.30 and 46,805.40

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Solution

The fourth proportional to 106,000.20, 159,000.30 and 46,805.40 is: 70,208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,000.20 : 159,000.30 = 46,805.40 : x
  2. Step 2: Convert to fraction form
    106,000.20/159,000.30 = 46,805.40/x
  3. Step 3: Cross multiply
    106,000.20x = 159,000.30 × 46,805.40
  4. Step 4: Simplify right side
    106,000.20x = 7,442,072,641.62
  5. Step 5: Solve for x
    x = 7,442,072,641.62/106,000.20
  6. Step 6: Final answer
    x = 70,208.10

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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.