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Finding the Fourth Proportional to 210,114, 289,981.60 and 116,989.10

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Solution

The fourth proportional to 210,114, 289,981.60 and 116,989.10 is: 161,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,114 : 289,981.60 = 116,989.10 : x
  2. Step 2: Convert to fraction form
    210,114/289,981.60 = 116,989.10/x
  3. Step 3: Cross multiply
    210,114x = 289,981.60 × 116,989.10
  4. Step 4: Simplify right side
    210,114x = 33,924,686,400.56
  5. Step 5: Solve for x
    x = 33,924,686,400.56/210,114
  6. Step 6: Final answer
    x = 161,458.48

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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.