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Finding the Fourth Proportional to 210,340.71, 290,269.98 and 114,847.38

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Solution

The fourth proportional to 210,340.71, 290,269.98 and 114,847.38 is: 158,489.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,340.71 : 290,269.98 = 114,847.38 : x
  2. Step 2: Convert to fraction form
    210,340.71/290,269.98 = 114,847.38/x
  3. Step 3: Cross multiply
    210,340.71x = 290,269.98 × 114,847.38
  4. Step 4: Simplify right side
    210,340.71x = 33,336,746,695.65
  5. Step 5: Solve for x
    x = 33,336,746,695.65/210,340.71
  6. Step 6: Final answer
    x = 158,489.28

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Why These Related Problems?

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