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Finding the Fourth Proportional to 210,103.66, 289,945.13 and 114,612.34

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Solution

The fourth proportional to 210,103.66, 289,945.13 and 114,612.34 is: 158,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,103.66 : 289,945.13 = 114,612.34 : x
  2. Step 2: Convert to fraction form
    210,103.66/289,945.13 = 114,612.34/x
  3. Step 3: Cross multiply
    210,103.66x = 289,945.13 × 114,612.34
  4. Step 4: Simplify right side
    210,103.66x = 33,231,289,820.90
  5. Step 5: Solve for x
    x = 33,231,289,820.90/210,103.66
  6. Step 6: Final answer
    x = 158,166.16

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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.