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Finding the Fourth Proportional to 210,334.50, 289,960.17 and 129,707.91

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Solution

The fourth proportional to 210,334.50, 289,960.17 and 129,707.91 is: 178,811.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,334.50 : 289,960.17 = 129,707.91 : x
  2. Step 2: Convert to fraction form
    210,334.50/289,960.17 = 129,707.91/x
  3. Step 3: Cross multiply
    210,334.50x = 289,960.17 × 129,707.91
  4. Step 4: Simplify right side
    210,334.50x = 37,610,127,633.94
  5. Step 5: Solve for x
    x = 37,610,127,633.94/210,334.50
  6. Step 6: Final answer
    x = 178,811.03

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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.