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Finding the Fourth Proportional to 210,462.39, 290,434.46 and 114,966.63

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Solution

The fourth proportional to 210,462.39, 290,434.46 and 114,966.63 is: 158,651.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,462.39 : 290,434.46 = 114,966.63 : x
  2. Step 2: Convert to fraction form
    210,462.39/290,434.46 = 114,966.63/x
  3. Step 3: Cross multiply
    210,462.39x = 290,434.46 × 114,966.63
  4. Step 4: Simplify right side
    210,462.39x = 33,390,270,527.24
  5. Step 5: Solve for x
    x = 33,390,270,527.24/210,462.39
  6. Step 6: Final answer
    x = 158,651.96

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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.