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Finding the Fourth Proportional to 210,969.84, 291,080.81 and 120,292.74

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Solution

The fourth proportional to 210,969.84, 291,080.81 and 120,292.74 is: 165,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,969.84 : 291,080.81 = 120,292.74 : x
  2. Step 2: Convert to fraction form
    210,969.84/291,080.81 = 120,292.74/x
  3. Step 3: Cross multiply
    210,969.84x = 291,080.81 × 120,292.74
  4. Step 4: Simplify right side
    210,969.84x = 35,014,907,594.86
  5. Step 5: Solve for x
    x = 35,014,907,594.86/210,969.84
  6. Step 6: Final answer
    x = 165,971.15

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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.