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Finding the Fourth Proportional to 210,641.10, 290,684.79 and 115,147.77

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Solution

The fourth proportional to 210,641.10, 290,684.79 and 115,147.77 is: 158,903.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,641.10 : 290,684.79 = 115,147.77 : x
  2. Step 2: Convert to fraction form
    210,641.10/290,684.79 = 115,147.77/x
  3. Step 3: Cross multiply
    210,641.10x = 290,684.79 × 115,147.77
  4. Step 4: Simplify right side
    210,641.10x = 33,471,705,341.42
  5. Step 5: Solve for x
    x = 33,471,705,341.42/210,641.10
  6. Step 6: Final answer
    x = 158,903.96

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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.