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Finding the Fourth Proportional to 210,690.33, 290,752.65 and 115,197.02

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Solution

The fourth proportional to 210,690.33, 290,752.65 and 115,197.02 is: 158,971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,690.33 : 290,752.65 = 115,197.02 : x
  2. Step 2: Convert to fraction form
    210,690.33/290,752.65 = 115,197.02/x
  3. Step 3: Cross multiply
    210,690.33x = 290,752.65 × 115,197.02
  4. Step 4: Simplify right side
    210,690.33x = 33,493,840,541.13
  5. Step 5: Solve for x
    x = 33,493,840,541.13/210,690.33
  6. Step 6: Final answer
    x = 158,971.89

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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.