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Finding the Fourth Proportional to 210,809.49, 290,924.29 and 120,178.86

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Solution

The fourth proportional to 210,809.49, 290,924.29 and 120,178.86 is: 165,850.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,809.49 : 290,924.29 = 120,178.86 : x
  2. Step 2: Convert to fraction form
    210,809.49/290,924.29 = 120,178.86/x
  3. Step 3: Cross multiply
    210,809.49x = 290,924.29 × 120,178.86
  4. Step 4: Simplify right side
    210,809.49x = 34,962,949,518.51
  5. Step 5: Solve for x
    x = 34,962,949,518.51/210,809.49
  6. Step 6: Final answer
    x = 165,850.93

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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.