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Finding the Fourth Proportional to 210,115.42, 289,959.14 and 114,621.89

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Solution

The fourth proportional to 210,115.42, 289,959.14 and 114,621.89 is: 158,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,115.42 : 289,959.14 = 114,621.89 : x
  2. Step 2: Convert to fraction form
    210,115.42/289,959.14 = 114,621.89/x
  3. Step 3: Cross multiply
    210,115.42x = 289,959.14 × 114,621.89
  4. Step 4: Simplify right side
    210,115.42x = 33,235,663,486.33
  5. Step 5: Solve for x
    x = 33,235,663,486.33/210,115.42
  6. Step 6: Final answer
    x = 158,178.13

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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.