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Finding the Fourth Proportional to 210,321.66, 290,230.39 and 114,828.13

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Solution

The fourth proportional to 210,321.66, 290,230.39 and 114,828.13 is: 158,455.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,321.66 : 290,230.39 = 114,828.13 : x
  2. Step 2: Convert to fraction form
    210,321.66/290,230.39 = 114,828.13/x
  3. Step 3: Cross multiply
    210,321.66x = 290,230.39 × 114,828.13
  4. Step 4: Simplify right side
    210,321.66x = 33,326,613,459.19
  5. Step 5: Solve for x
    x = 33,326,613,459.19/210,321.66
  6. Step 6: Final answer
    x = 158,455.45

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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.