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Finding the Fourth Proportional to 109,898.70, 164,718.45 and 46,718.70

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Solution

The fourth proportional to 109,898.70, 164,718.45 and 46,718.70 is: 70,022.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,898.70 : 164,718.45 = 46,718.70 : x
  2. Step 2: Convert to fraction form
    109,898.70/164,718.45 = 46,718.70/x
  3. Step 3: Cross multiply
    109,898.70x = 164,718.45 × 46,718.70
  4. Step 4: Simplify right side
    109,898.70x = 7,695,431,850.02
  5. Step 5: Solve for x
    x = 7,695,431,850.02/109,898.70
  6. Step 6: Final answer
    x = 70,022.96

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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.