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Finding the Fourth Proportional to 210,816.69, 290,926.94 and 115,323.36

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Solution

The fourth proportional to 210,816.69, 290,926.94 and 115,323.36 is: 159,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,816.69 : 290,926.94 = 115,323.36 : x
  2. Step 2: Convert to fraction form
    210,816.69/290,926.94 = 115,323.36/x
  3. Step 3: Cross multiply
    210,816.69x = 290,926.94 × 115,323.36
  4. Step 4: Simplify right side
    210,816.69x = 33,550,671,658.70
  5. Step 5: Solve for x
    x = 33,550,671,658.70/210,816.69
  6. Step 6: Final answer
    x = 159,146.18

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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.