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Finding the Fourth Proportional to 210,458.40, 290,438.84 and 114,966.68

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Solution

The fourth proportional to 210,458.40, 290,438.84 and 114,966.68 is: 158,657.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,458.40 : 290,438.84 = 114,966.68 : x
  2. Step 2: Convert to fraction form
    210,458.40/290,438.84 = 114,966.68/x
  3. Step 3: Cross multiply
    210,458.40x = 290,438.84 × 114,966.68
  4. Step 4: Simplify right side
    210,458.40x = 33,390,789,177.85
  5. Step 5: Solve for x
    x = 33,390,789,177.85/210,458.40
  6. Step 6: Final answer
    x = 158,657.43

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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.