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Finding the Fourth Proportional to 210,193.45, 290,073.13 and 114,706.31

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Solution

The fourth proportional to 210,193.45, 290,073.13 and 114,706.31 is: 158,298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,193.45 : 290,073.13 = 114,706.31 : x
  2. Step 2: Convert to fraction form
    210,193.45/290,073.13 = 114,706.31/x
  3. Step 3: Cross multiply
    210,193.45x = 290,073.13 × 114,706.31
  4. Step 4: Simplify right side
    210,193.45x = 33,273,216,635.32
  5. Step 5: Solve for x
    x = 33,273,216,635.32/210,193.45
  6. Step 6: Final answer
    x = 158,298.07

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