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Finding the Fourth Proportional to 210,633.96, 290,674.85 and 115,141.04

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Solution

The fourth proportional to 210,633.96, 290,674.85 and 115,141.04 is: 158,894.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,633.96 : 290,674.85 = 115,141.04 : x
  2. Step 2: Convert to fraction form
    210,633.96/290,674.85 = 115,141.04/x
  3. Step 3: Cross multiply
    210,633.96x = 290,674.85 × 115,141.04
  4. Step 4: Simplify right side
    210,633.96x = 33,468,602,501.76
  5. Step 5: Solve for x
    x = 33,468,602,501.76/210,633.96
  6. Step 6: Final answer
    x = 158,894.62

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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.