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Finding the Fourth Proportional to 210,478.14, 290,444.58 and 114,964.56

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Solution

The fourth proportional to 210,478.14, 290,444.58 and 114,964.56 is: 158,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,478.14 : 290,444.58 = 114,964.56 : x
  2. Step 2: Convert to fraction form
    210,478.14/290,444.58 = 114,964.56/x
  3. Step 3: Cross multiply
    210,478.14x = 290,444.58 × 114,964.56
  4. Step 4: Simplify right side
    210,478.14x = 33,390,833,344.08
  5. Step 5: Solve for x
    x = 33,390,833,344.08/210,478.14
  6. Step 6: Final answer
    x = 158,642.76

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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.