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Finding the Fourth Proportional to 119,870, 179,813.64 and 45,998

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Solution

The fourth proportional to 119,870, 179,813.64 and 45,998 is: 69,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,870 : 179,813.64 = 45,998 : x
  2. Step 2: Convert to fraction form
    119,870/179,813.64 = 45,998/x
  3. Step 3: Cross multiply
    119,870x = 179,813.64 × 45,998
  4. Step 4: Simplify right side
    119,870x = 8,271,067,812.72
  5. Step 5: Solve for x
    x = 8,271,067,812.72/119,870
  6. Step 6: Final answer
    x = 69,000.32

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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.