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Finding the Fourth Proportional to 210,411.92, 290,357.52 and 114,899.96

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Solution

The fourth proportional to 210,411.92, 290,357.52 and 114,899.96 is: 158,555.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,411.92 : 290,357.52 = 114,899.96 : x
  2. Step 2: Convert to fraction form
    210,411.92/290,357.52 = 114,899.96/x
  3. Step 3: Cross multiply
    210,411.92x = 290,357.52 × 114,899.96
  4. Step 4: Simplify right side
    210,411.92x = 33,362,067,433.70
  5. Step 5: Solve for x
    x = 33,362,067,433.70/210,411.92
  6. Step 6: Final answer
    x = 158,555.98

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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.