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Finding the Fourth Proportional to 210,802.77, 290,903.40 and 115,306.20

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Solution

The fourth proportional to 210,802.77, 290,903.40 and 115,306.20 is: 159,120.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,802.77 : 290,903.40 = 115,306.20 : x
  2. Step 2: Convert to fraction form
    210,802.77/290,903.40 = 115,306.20/x
  3. Step 3: Cross multiply
    210,802.77x = 290,903.40 × 115,306.20
  4. Step 4: Simplify right side
    210,802.77x = 33,542,965,621.08
  5. Step 5: Solve for x
    x = 33,542,965,621.08/210,802.77
  6. Step 6: Final answer
    x = 159,120.14

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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.