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Finding the Fourth Proportional to 210,178.08, 290,043.34 and 114,686.36

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Solution

The fourth proportional to 210,178.08, 290,043.34 and 114,686.36 is: 158,265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,178.08 : 290,043.34 = 114,686.36 : x
  2. Step 2: Convert to fraction form
    210,178.08/290,043.34 = 114,686.36/x
  3. Step 3: Cross multiply
    210,178.08x = 290,043.34 × 114,686.36
  4. Step 4: Simplify right side
    210,178.08x = 33,264,014,906.84
  5. Step 5: Solve for x
    x = 33,264,014,906.84/210,178.08
  6. Step 6: Final answer
    x = 158,265.86

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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.