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Finding the Fourth Proportional to 210,456.46, 290,436.28 and 114,969.31

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Solution

The fourth proportional to 210,456.46, 290,436.28 and 114,969.31 is: 158,661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,456.46 : 290,436.28 = 114,969.31 : x
  2. Step 2: Convert to fraction form
    210,456.46/290,436.28 = 114,969.31/x
  3. Step 3: Cross multiply
    210,456.46x = 290,436.28 × 114,969.31
  4. Step 4: Simplify right side
    210,456.46x = 33,391,258,343.76
  5. Step 5: Solve for x
    x = 33,391,258,343.76/210,456.46
  6. Step 6: Final answer
    x = 158,661.12

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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.