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Finding the Fourth Proportional to 209,810.06, 289,541.20 and 114,316.72

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Solution

The fourth proportional to 209,810.06, 289,541.20 and 114,316.72 is: 157,758.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,810.06 : 289,541.20 = 114,316.72 : x
  2. Step 2: Convert to fraction form
    209,810.06/289,541.20 = 114,316.72/x
  3. Step 3: Cross multiply
    209,810.06x = 289,541.20 × 114,316.72
  4. Step 4: Simplify right side
    209,810.06x = 33,099,400,288.86
  5. Step 5: Solve for x
    x = 33,099,400,288.86/209,810.06
  6. Step 6: Final answer
    x = 157,758.88

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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.