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Finding the Fourth Proportional to 210,029.30, 289,755.76 and 121,566.32

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Solution

The fourth proportional to 210,029.30, 289,755.76 and 121,566.32 is: 167,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,029.30 : 289,755.76 = 121,566.32 : x
  2. Step 2: Convert to fraction form
    210,029.30/289,755.76 = 121,566.32/x
  3. Step 3: Cross multiply
    210,029.30x = 289,755.76 × 121,566.32
  4. Step 4: Simplify right side
    210,029.30x = 35,224,540,661.92
  5. Step 5: Solve for x
    x = 35,224,540,661.92/210,029.30
  6. Step 6: Final answer
    x = 167,712.50

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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.