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Finding the Fourth Proportional to 210,140.39, 315,362.09 and 83,707.49

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Solution

The fourth proportional to 210,140.39, 315,362.09 and 83,707.49 is: 125,621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,140.39 : 315,362.09 = 83,707.49 : x
  2. Step 2: Convert to fraction form
    210,140.39/315,362.09 = 83,707.49/x
  3. Step 3: Cross multiply
    210,140.39x = 315,362.09 × 83,707.49
  4. Step 4: Simplify right side
    210,140.39x = 26,398,169,992.73
  5. Step 5: Solve for x
    x = 26,398,169,992.73/210,140.39
  6. Step 6: Final answer
    x = 125,621.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.