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Finding the Fourth Proportional to 210,382.40, 290,319.20 and 114,888.96

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Solution

The fourth proportional to 210,382.40, 290,319.20 and 114,888.96 is: 158,542.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,382.40 : 290,319.20 = 114,888.96 : x
  2. Step 2: Convert to fraction form
    210,382.40/290,319.20 = 114,888.96/x
  3. Step 3: Cross multiply
    210,382.40x = 290,319.20 × 114,888.96
  4. Step 4: Simplify right side
    210,382.40x = 33,354,470,956.03
  5. Step 5: Solve for x
    x = 33,354,470,956.03/210,382.40
  6. Step 6: Final answer
    x = 158,542.12

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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.